I'm by no means a welder but do have all 3 types, an AC buzz box, a gas driven DC welder and a 110 volt Mig. I use the AC welder the most for repair and fabrication. the Mig is nice for light jobs and a necessity for sheet metal. The DC is my newest acquisition, cause I always heard it was the easiest to weld with, still have yet to prove that.
I've had the AC since I found it in a dump, took it home fixed it up and have been using it for 30 years and would be the one I would replace first if all three got stolen.
So I guess the answer would be the AC welder, or like Eddie said the AC/DC, that's what I would do today, don't know if there is a 110 volt AC so you would need the 220 outlet.
For all the welding I do, I really should get some formal lessons, my welding never looks to good, good thing there are 4" disc grinders.
I think a oxy/act torch outfit is as important as the welder for steel fabrication, heating, bending and cutting etc.
And forget about the Tig, it is the hardest to learn, more for the pros, my friend has one and took awhile to get good with it, once you learn you can do some incredible work with it.