I've taken up the carpet in my finished basement and am looking for a simple and affordable flooring in its place -- I think I'd like to go with an epoxy coating over the slab but am confused by the options and the terminology (is there a difference between epoxy flooring and epoxy floor coating and epoxy paint? between resin and epoxy? is all epoxy "rubberized"?)

The house is a 1919 bungalow; the slab is not in great shape (not entirely level, some pitting from taking up nailed-down carpet tack strips, some paint splashes, and one flakey section) but dry (I think -- I need to do a moisture test, but it's not visibly wet and the carpet, put in several years ago by the previous owners, was not moldy or anything).

I think what I'd like is a DIY, self-leveling, rubberized, epoxy flooring that's not-toxic and non-flammable during installation -- possibly either Ucoat or Ecoprocote Eco-Tuff Industrial Floor coat. I don't know what the difference between these 2 is, or whether these make more sense than similar products by other brands (rustoleum, behr, BM, etc).

I'd also like to hear about others' experiences with epoxy flooring -- is it slippery when wet? will using a satin (not gloss) coat make it less slippery (I'd rather not use the texture option, to keep it more finished-looking)? If I use a self-leveling type, will that correct for some of floor imperfections, or will I need to grind it down first? how difficult is it to prep and apply? does it look dirty easily?

I'd like it to look something like attached (from the ideabook "The home of Bianca." The story says this is white -- I might prefer ivory, which this actually looks like to me, or a light gray, but generally this aesthetic). Any advice appreciated! Thank you.