My mig-welder is an ESAB LKA 240 (3-phase 380V)
It's a hobby welder but one of the bigger ones.
I love it, I can weld just about anything with it
I see yours run on 110V or 220V, is that 1-phase or 3-phase?
I hope they're 3-phase at least.
Some of the smaller welders over here run on 220V 1-phase,
and they really suck in comparison with a 3-phase machine
But to answer the OP, the "best inexpensive welder" hasn't been made yet

I say save up some cash and get one of the bigger brands.
If you get some crappy welder you'll always question your ability,
when it could be the welder that sucks.
I had a cheap crap mig-welder for many years and hated using it,
I rather used the pin-welder even for sheet metal...

Then I finally bought the ESAB,
and was completely astonished at how easy it was to weld with it,
and how easy it was to adjust it.
And regarding size, if you sense there will be more welding in your future
chose one or two sizes bigger than whatever you where meaning to buy ...

It's really useful to be able to weld thicker material as well.
And stay away from flux-core unless you're gonna weld a lot outside.
Yes it has it's uses, but for a beginner I think it can make it harder to adjust the welder properly, as the weld will look like crap even when it's pretty decent.
But thats just my 2 cents...