If you're going with hand chisel and block plane you're well out of the realm of "easy," if only time-wise.

I also don't think a hand plane will help you with warped boards much, and buying sizable not-warped wood is gonna likely add to your cost unless you get lucky at Home Depot. I've never had as much luck with the DIY fixes for that as others. I dunno what the hand version of a jointer is but I don't want to find out. ;)

You don't need a lot of power tools to do pretty cool stuff, but cabinetry is one of the tougher things to do precision-wise if you're unpracticed or don't have tools that make it easy to get repeatable results.