Sorry, I can't link yet but:
For compressor-Iwata Smart Jet: It's extremely portable, turns off when not in use, the psi is adjustable, and has a moisture trap.
For airbrush-Iwata Eclipse HP CS/Gravity feed (it's best to get 2 in case 1 gets clogged, which happens frequently)-you want dual action.
Get a nylon covered hose rather than using the crappy little hose that comes with the gun.
You'll need an airbrush stand to screw on to the table to hold your airbrush:
And I highly recommend getting an male/female Quick Disconnect adapter for the screw that connects the hose to the compressor (you can get that at any hardware store).
Avoid Dinair by all costs, Kett is too matte for my tastes, and I haven't tried Temptu. Mac's isn't bad-the color range is easy because most people are familiar with it and with our discount, it's very reasonable.
I like Aircraft Cosmetics for foundation-it's water based, so you can touch up out of the bottle on set if need be.
But you can basically thin down most foundations from their bases (e.g water, thin with water; silicone, 244 solution: alcohol-oh yes you will be using alcohol based paints-alcohol). I've run Make Up For Ever, Revlon, Mac's Face & Body, Skin by Allison Raffaele foundations through my airbrush. You can experiment with Revlon's Colorstay and 244-it's about 1/3 price of the foundations made specifically for airbrushes. All the Star Trek series (original excepted) used Colorstay through their airbrushes. That is probably the route to go, because you'll be investing a lot of money in your airbrush and accessories, and you can get Revlon anywhere. The one for dry skin is the best.
I'd also recommend getting those tiny little brushes that people use to clean between their braces to help clean your tip out (drug store).
Have fun! Practice!