If you are dead-set on learning TIG like I was, check your local community college / trade school. I got certified in TIG welding in 2 semesters by taking night classes 2 nights a week, and had zero weld experience prior. The state of Georgia at the time even had the Hope Grant, which paid for the whole thing! We covered regular steels, stainless steels, and aluminums. My last job was at a turbine engine manufacturing/repair facility, so I got exposed to exotics like nickels, cobalts, and titaniums there.
Like others have said, a good TIG rig will set you back anywhere from about $1000 up to $4000 for a nice inverter with water-cooled torch. I still don't have my own machine, but everyone I know who has one ends up making a few bucks here and there doing odd jobs all the time...everybody needs something welded!