When I learned, it was on a Tombstone. Fairly inexpensive G-D bulletproof welder, and between that and an oxy-acetylene torch set could do almost anything I needed. It needed 240 to run, but I had a "jumper cable" between the welder plug and my dryer plug.
Years later, I had a Miller 211 that was almost perfect for around the house jobs - I could run it off 120 (my little honda genset) or use an adapter to plug it and an extension cord into the dryer or stove outlet to do heavier stuff. Good all around machine, the only downside is it wouldn't do stick or tig. But for learning the basics, running beads for practice (Super important to learn speed, angle, and sound control) it was hard to beat... OR... if you have 240 available, get a cheap used Tombstone. Nothing better (IMO) to learn the basics on.
The main thing is while you're learning, you need a machine that just runs and welds well. You're going to be putting down a LOT of beads to get your speed, penetration, timing, sound, and angles right. LOTS and lots of scrap steel to run lots of beads. Plenty of gas and wire or rod stock. Remember - welding is an art, and to be an artist takes practice. (Thats why I'm still a fan of the tombstones... )
Almost forgot - Gear! Good welding gloves and a GOOD helmet (man, those wide screen auto darks - wish they had THOSE when I was learning!) Button down thick cotton or work shirt (that WILL get effed up), a welder's cap to keep your hair and scalp from catching fire, and sure, a leather apron to save yer pants (and junk if you dare weld naked ) And boots. LEATHER boots or work shoes. NOT EFFING CANVAS - well, go aheadm until that forst glob of molten steel hits the top and into the top of your foot... That gets, um, distracting.
Don't expect to start out Tig welding Ultralight aircraft and titanium bicycle frames... baby steps!! You'll get good soon enough.