@Rodc - Like anything, you can spend as little or as much as you want. There are mini compressors and airbrushes that cost more than my big compressor and guns, but for a starting reference this compressor ticks a lot of boxes:
Artlogic AC1418
As for airbrushes, that's harder to specify because there are a number of different types, and depend on personal preference.
Such as single or dual action, gravity or suction and nozzle size (some brushes accept various size needles & nozzles, other just one).
You can a cheap $40 off-brand* one from eBay (like me
) or you can get a $400 Iwata.
My brush is a dual-action with .2/.3/.5mm needles & nozzles, and will do both gravity and suction feed. I have only ever used the .5 nozzle since I have only used it for applying poly.
As far as I can tell, mine is a knock-off of a Sparmax. The biggest issue I've found with the no-name one is spare parts like O-rings, but performance-wise, it's worked great.
I have bought generic O-ring kits that provided the ones I needed, but also gave me ones that don't fit my brush so are of no use. If I had a genuine Sparmax or Iwata I could get full O-ring kits that would purpose fitted.
FWIW the reason I cheaped out on the $40 one was I knew nothing about airbrushing and wasn't sure what results I would get so I minimised my outlay in case it was crap! I would spend more knowing what I know now but I haven't upgraded the airbrush because I bought a mini touch-up gun instead.
*I just checked, and mine branded "Voilamart"