I had someone show me how to stick weld, probably an hour of instruction. I learned gas and mig on my own. I also read a few books on welding and metallurgy. If you want to be self taught, do it right.
I was already torch/flame cutting, but a pro came to a car club meeting and broke down some of the finer details. That really helped a lot. If you can flame cut, you can plasma cut.
A little bit of instruction won't hurt. Probably some good stuff on the youtubes.
There is a bit of a learning curve with tig. I recommend a class for that. Some welding stores, that are going to be selling you a welder, will get you started in their booth.
A Miller 180, 210, 211, 212 are better choices. Newer models are dual voltage. Find one on Craigs list and be fast to respond or someone else will beat you to it. I stole my plasma cutter in this way. Seller's price was too low and I was the first one to his house. His phone was getting blown up while I was counting out the cash.
Even without a box and pan break, you can easily make a blast cabinet. Make the frame of the box with angle iron, cut sheet metal panels with a Harbor Freight electric shear, weld it over the angle iron frame. Instant box. Add window, gloves, access door, legs with wheels, a vacuum port to clear dust and blast away.