Here's a goofy little diagram of a self-harvesting black soldier fly larvae composter that I described, in case anyone wants to get an idea of what I'm talking about:

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Note that you may want to use the bucket's lid - just cut a hole in it so that there's an exit point around the "ladder" which the larvae will use to get out of the bucket from. BSF larvae will outcompete just about anything else and they seem to emit a pheromone or something that deters other critters like flies once they've colonised a patch so once it's going you're unlikely to have any problems from small pests.

Scrap wood is ideal for making the "ladder" with but you can use whatever material you have lying around that is going to survive the conditions and which is rough or textured enough that the larvae will be able to cling on to it to crawl out.

The collection container is optional but just make sure that it's tall enough that if you get a large number of BSF larvae collected that they won't be able to crawl out the top. (Although it's probably not the worst idea to let a few larvae pupate so you're putting some BSF back into your local environment rather than trapping all the eggs and harvesting the larvae. It's hard to imagine making a noticeable dent in the local BSF larvae population with this given how prolifically they breed but you never know.)

I forgot to mention that ideally you should put a BSF egg trap directly above the compost. BSF love to lay their eggs in tight crevices so without a trap it's not uncommon that they'll lay eggs around the rim of the bucket if the lid is on but you can maximise your chances easily with about two minutes of extra labour.

The simplest option is to get something that is corrugated like cardboard or corrugated signboard (y'know the plastic stuff that has the same structural pattern as corrugated cardboard). Cardboard won't last forever so you'll have to replace it occasionally if you use that as the material. You can cut a few pieces and stick them together if you like, or just use one piece and affix it to the top point of the bucket on the opposite point to the "ladder", near the rim of the bucket. Don't forget to cut a small hole in the top of the lid so that BSF are enticed to enter near the trap to lay their eggs. You could also use 1" wide strips and stick them on the upper half of the inside of the bucket, using as many strips as you like (remembering that you must cut the material the right direction so that you're maximising the number of exposed holes).

Some people take corrugated material and roll it which is fine but you have to be careful not to crush too many corrugated channels and tbh it's a bit overcomplicated. A few flat layers of corrugated material fixed together will work just as well but even using a few layers is probably overkill for a small setup like this bucket.

If you wanted something more permanent and less plastic-y, you could get some scrap wood and drill holes in it on all exposed surfaces to make something resembling honeycomb using a drill bit which is roughly the same width as the holes in cardboard corrugations. Personally I couldn't be fucked doing something like that but if you enjoy woodwork and you're killing time then go nuts.

Also it's worth mentioning that most BSF bins for sale are ridiculously pricey, overcomplicated, and not necessarily any more effective than a bucket with a few holes, a bit of wood, and a bit of cardboard at the top. They are the worm farms of the BSF world - expensive pieces of plastic that are designed to make the whole thing seem more complex than by rights it should be so that consumers are convinced they need to buy some purpose-designed crap that may require significant intervention to maintain.

BSF larvae happily colonise piles of cow shit without any outside intervention, just like how compost worms will colonise a pile of decaying vegetable matter without needing any help. Don't let the marketing convince you otherwise.

Very cool!

A few words of advice:

Don't use the laundry basket method of growing mushrooms. I don't really trust it tbh. Mushrooms are really good at remediating heavy metals and shit from whatever they're in contact with and I just don't think it's worth the risk because you don't know what dyes have been used in a laundry basket or what it's going to release as it breaks down, especially if it's exposed to sunlight. Just use a foodsafe bucket instead and cut holes into it in a similar pattern to a laundry basket (or use smaller holes), it might cost a few extra dollars but it's going to be safer. You can also use a second bucket of the same size as a reusable outer container to reduce light and to maintain humidity if you do it this way.

Check out semi-aquatic plants. Obviously their need for watering is reduced because of this but water is also a great weed suppressant measure. Watercress is extremely nutritionally dense and easy to grow. Similarly, water spinach (ipomoea aquatica) grows like a weed to the point that it is a weed but it really good as a stir-fry or steamed vegetable (you can also eat it raw but note that if aquatic snails consume human waste and find their way to your water spinach, this can transmit diseases [giardia etc.] - almost certainly an impossible situation under typical circumstances but just fyi). Sweet potato has edible leaves, grows in riparian systems, and grows very quickly. If you want to go wild, duckweed and azolla are edible, ridiculously fast-growing, and extremely nutritious. Being floating plants, they can occupy the surface areas of aquatic growing spaces around other rooted plants that you're growing. These also make ideal fodder for animals like chickens, if that's something that is on your radar. You can also do some pretty simple aquaponics with tilapia to close the loop and get a source of protein, if you do fish.

(You can also get some cool aquatic edibles like water chestnut, which once established will divide like heck to occupy whatever space is available, and duck potato - both can grow well in buckets or sealed plastic pots.)

Chaya is a great option for nutritious vegetables and it can be harvested in a major way without impacting the plant. Opt for stingless if it's available for ease of harvesting, make sure that you read up on how to cook the leaves for safe consumption though.

Nettle is another wonderful plant that grows like a weed in the right conditions and is very nutritious. Annoying to harvest, but nothing that some full sleeve gloves can't fix.

Amaranth is yet-another great option for the above. Leave some seeds to reach maturity rather than harvesting all of them and you should get volunteers all over the place next season.

Chenopodium bonus-henricus (lol) is part of the amaranth family and it's often considered a weed but it's also known as poor-man's asparagus because of its flavour, same deal as amaranth above.

Yacon, Jerusalem artichoke, skirret, springbank clover (nitrogen fixer!), achira, Chinese artichoke, American groundnut, and Pacific waterleaf are less common tubers that are perennials and good options for self-sufficient gardening.

If you were going to keep chickens or similar, I would do simple hydroponic sprouting of feed grain - a series of buckets, each with drainage holes plus one sealed one can be used to start the sprouting process. Grains go in one bucket, using the sealed bucket to retain the water, then remove the outer when it's ready to start growing out, and set it aside and start another bucket. Keep growing buckets out in series, adding one each day, until the oldest is ready to harvest and then keep the cycle going indefinitely. If you get buckets that have an outer rim on them so that there's some clearance between the bottoms when they stack, like this style:

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You should be able to get the day+ old bucket that are sprouting, stack them together, and water them all at once without squashing the sprouts.

Also if you're keeping chickens or similar, look at black soldier fly cultivation. Get a 5 gallon bucket, suspend it at about a 45 degree angle from a tree or a post, affix a "ladder" in the bucket for the larvae to self-harvest out of, (optional) at the lowest point of the bucket drill small holes or cut a section out and affix some sturdy mesh or layers of shadecloth or similar material (BSF larvae hate compost that is overly damp - it suffocates them [plus anaerobic compost stinks]), throw compost of any sort in the bucket including meat waste and manure (with a caution about going manure [especially chicken manure] -> BSF -> chicken feed as this may become a vector for parasites and diseases - you would need to do your research before opting for this to be safe), and either let it rip and allow the BSF larvae self-harvest directly into the ground of the chicken coop at their own pace which will allow for enrichment for your chickens or put a collection container underneath where the "ladder" and the rim of the bucket end and feed manually. Add as many buckets as you have compost available to you. BSF can also be fed to fish in an aquaponics operation. I can find a picture or diagram of what I'm talking about, or I can probably create a shitty drawing to illustrate if you need.

Also if you're keeping chickens, have a bed that grows a hardy plant that the chickens will eat. Build a chicken wire frame that sits over the bed by at least a few inches or more depending on what you're growing. Once the plants emerge above the chicken wire, the chickens will eat it but they won't decimate the plants or be able to turn up the soil where the plants are growing meaning they'll have the chance to grow back, until they get beyond the chicken wire frame where the chickens will harvest the leaves again.

Also set up an in-ground worm farm (a large plastic compost bin that it open at the bottom is probably a good bet) right beside the chicken coop. Once the worm colony is well-established, this will naturally create a steady stream of worms into the nearby soil meaning plenty will venture into the soil in the chicken coop where hungry chickens will dig them up and eat them. If you couple this with the compost/food waste pile method of feeding chickens then you probably won't need to ever buy grain for them provided that you can get a steady supply of food waste.

If you're really into self-sufficiency there's some other cool ideas that I have come across outside of food production. I'm sure there's other food growing info that I have forgotten about, but if anything comes to mind I'll put it in another comment.