Flux penetrates a little better, and is more wind tolerant, but is much harder to make a pretty weld, and can contaminate your body work from underneath.
I do a lot of mobile work, and mainly use flux core. When I use gas, it is so easy it feels like I am cheating.
With mobility in mind, I purchased a new Miller, the biggest 110 they had. No regrets, it's never let me down.
The downside is on thick metal(4x4 bumpers, fabricated flatbeds, etc), you do have to go pretty slow.
On my birthday, I scored a free stickwelder off Craigslist that picks up where this leaves off
Much better for 3/8 plate
you DO want an auto darkening helmet. the $50 harbor freight one works, but in a frustrating never quite 100% kind of way.
IMO you do want a brand name machine with gas capability.
something like this
http://sfbay.craigslist.org/scz/tls/1913631862.html will be worth just as much if you decide to sell it sown the road and get a bigger machine, where a new no-name would not. It also will do all you need to practice and get good.
As I see it, TIG has a smaller heat affected area, but the point heat is higer, so you get more panel distortion at the seam....suck if you are splicing patch panels in the body.
I'd argue the better welds, but prettier without a doubt, and i wish I did have a TIG, just not sure I'd recommend it for a 1st time buyer
Some of the Chinese inverter TIGs have damn good bang for the buck factor.