It's pretty easy to find a stick welder capable of running 1/8" 7018 rods at 120 amps or so... you can go bigger but that will do the job. Heck even an AC only machine will do it. I built my press years ago when the only welder I had big enough was a 225 amp AC tombstone. You just have to do your diligence, v everything out, multipass, chip between passes while duty cycle comes around. Takes some practice but not awfully difficult. It could be done with a big MIG too.
I didn't use a hoist when building my press... the couple times I had to erect a piece and tack it, I did it under a truss with a come-along. Mostly things can be added on from the base up, or built in separate parts such as the slide and then installed.
Caution is indeed prudent but you can't have no in your heart. An afternoon spent with a book on simple hydraulics, or looking at press build wip threads, and some calcing at surplus center, and that's all the education you need. Do have someone knowledgeable check you plans over, and your build too if possible.
In my humble opinion, a knifemaker (particularly a forger) ought to know this stuff and have the equipment. It'll make you much better in the long run. You could take a fabrication or welding class at your local tech school perhaps...