I already got a company name: Fuzzy Games. It's a nice friendly name, and "fuzzy" is a term used in AI programming, which is something I'm planning on putting a lot of emphasis on.
My first game will be a twist on Tetris. Yeah I know, everybody does a twist on Tetris. But I think my twist will be kinda interesting (don't want to get into the specifics yet). And anyway, it's the first game so I want to kick off with something small & manageable.
My deadline to have this first game released is January 1st. It's kind of like a backwards new year's resolution :D
Are you sure you want to quit your day job though? I'd stay at it until I write a decent re-usable base tech in my spare time, and then quit my job and build a wad of games based on it.