You just need a table saw with a regular blade, a friend to help, and some sandpaper for the bed wood. The friend needs to have some previous table saw experience. It only takes 3 passes per side to get the board profiled (to the profile on your website). This is after ripping the wood to the correct width.
Thickness of the boards is the least important measurement because you can adjust the bed bolt length; I'd stay close to 3/4" - 7/8" thick if you purchase a complete bed bolt kit. (In my opinion it was worth the price to purchase the ready-made kit; on the contrary, you can save a whopping $19 if you buy bulk 304 stainless hardware)
I think it took about 90 minutes to cut all the boards to the correct profile. I practiced with 24" long wood pieces first and did an install fit/check. Cutting the wood is the quickest part of the stovebolt bed building process.
I'll find my notes to check, but I think the only weird (or, unusual size) item needed was a 1-9/16" forstner bit for counter-sinking the offset washers. The 1-5/8" bit I had ended up working fine.
Brad
