An extension that does this with over 30 image search engines is Search By Image, a Mozilla recommended extension

I don't know how I missed that until now, thanks!! I will try it right now.

I also use ImgOps.com

Yeah, that's what I was using for a while and what motivated me to write the bookmarklet to avoid going through it every time.

Regarding the different searches, I found that they cover very different needs:

• TinEye: usually the best when you want (almost) exact matches.
• Yandex: probably the stronger as a general search
• Google: in my experience, the best to "understand" the image and identify the object / subject even if there are no real matches for that image
• Bing: you sometimes get lucky with it when the others fail
• SauceNAO: the most convenient to find the original pages for DeviantArt, ArtStation and Twitter images.