Look around for one of the older tombstone shaped ac welders. Used one for years. Hard to do sheetmetal though. Will weld 1/8", or angle iron or rebar all day long. Should be able to find one in a month or so for $150 or under used. Rule of thumb for welding is one amp for every thousanth in thickness. Yes you can do multiple booger passes and weld thicker and it would probably be ok for yard art.
I'd never trust anything structural welded with a 110V machine. Don't care how good you are or how many passes you make. Not structural.
With the bigger 20V machines its perfectly ok to do multiple passes to weld thicker material (beyond the welders initial capability). The other thing you have to look out for is duty cycle. The closer you get to the high end of the welders capability the lower the duty cycle. Pretty soon a 20% duty cycle (2 minutes welding, 8 minutes cooling) will really suck. The 220V machines have a much higher overall duty cycle.
My first choice in welders is Miller, followed by Lincoln, then ESAB or Hobart line. Hobart will tend to have more plastic rollers and/or aluminum wiring over its bigger cousin the Miller.
Owneded a Lincoln 210A/220V Mig and loved it. went to a Miler 210 for spool gun needs, also have a ThermalArc 185 tig/Stic machine. That is sweet but its $2K+. Antd then there is my ESAB plasma cutter that cuts 1/2" (somewhat slowly though).
In any case stick to Miller/Hobart/Lincoln and you can't go wrong. Last point, flux core wire welders spatter more (if that's a consideration), 220V mig with shielding gas is the way to go if you can afford it. You can find everything from Yugo's to Ferrari's in the welding line. And then the welds are only as good as the prep and the 'weldor' (vs 'welder').
The miller welding site has a good amount of activity on their welding forums. Think the site is
www.millerwelds.com. Lots of cheap, good education manuals too.