It's just a hobby thing. I'm not going to pull more wire to my shed, so it'll have to stay 110V. Forgive me for asking the question. I'm likely to wind up with some cheap POS from Harbor Freight, or eBay.
Well, then you may as well just throw your money down the toilet.
A "cheap POS" from Harbor Freight or eBay (an even worse idea) won't work very well for very long especially if you have no experience with welding.
Even if you have a good Miller 220v wire feed welder and don't use it very much, the wire gets oxidation built up on it (causing the welder to not function properly, the wire to jamb, etc.) and you won't be very happy with it.
If you don't plan on welding very much then you really shouldn't waste your time buying welding equipment. You're much better off brining your small jobs to a welding shop in the long run.