Well..... <scratches head> None of this is really structural in nature, what's more important is airtight chambers. 1/4" on MIG process is nearly trivial, 1/2" I don't think I'd want to tackle with a 120v welder (could be done here with a lot of passes, though.) The tubing? should be pretty simple without blowing through it. MIG process will almost certainly be easiest. Stick wouldn't be too bad, although some of the thinner material might be a little entertaining. TIG? Only on the thinnest material here, the majority of it just doesn't call for TIG capability, and will probably take rather more filler than I'd care to feed by hand.
Gotta admit to being very, very tempted to build the interior chambers out of stainless. My brother starting having his cherry harvest tanks made out of stainless (1 cu. ft. per inch of depth,) instead of mild steel and painting them. No annual maintenance (scraping, priming & touch-up,) and zero corrosion issues. It also helps that he's got a retired production welder half a mile down the road who did all of the welding for beer money.
The big thing with welding is that it's like painting: preparation is key, you'll spend more time with fit-up and work up front before you start burning metal.