You can "home school" yourself. You can attend FREE welding courses at U of Y also. (University of YouTube). Yeah it's not formal welding instruction, but it will help dramatically with the learning curve.
As far as a machine, here is just another opinion..... Buy a MIG welder. Running mig (GMAW) or flux core (FCAW) are similar but two different processes. A person can make beautiful welds with FCAW, IF they have a good machine (and they know what they're doing). Many newbie and hobbiest welders have a problem of using an inferior machine that just put out the voltage (heat) needed for good flux core weld beads.
I believe that if you buy a cheapo welder, you'll have cheapo welds. I say, save some more money for another few months and read/learn more about mig welding in the mean time. Once you have enough money, buy a descent welder.
Many people falsely believe that mig welding is like working a hot glue gun. Or that mig welding is "easy." I'm here to tell you that everyone I've met that says its easy, usually can't produce a weld that looks any better than fresh camel snot or rotten rope! I'm not talking about an experienced welder either. Another problem with MIG welding is that someone that doesn't have much experience one day thinks they are laying down "good looking welds." Unfortunately, the biggest problem with MIG welding for the inexperienced is that the weld "looks" great, but is cold and only a surface bead. I've only covered a small perspective of MIG welding here.
When I suggested YouTube learning, you'll learn to see crappy welds where people think they know what they're doing. If you wanna see some great "how to" videos on welding, look up "weldingtipsandtricks" and "chuckE2009" on YouTube. You'll learn a lot.
Again, these are just my opinions. Good luck.