I bought one of the generic 'Zeny' compressors a year and a half ago. They're quiet and affordable; around 90USD on eBay or around 120USD on Amazon. See the attached image. No matter the name, or lack of a name, if it looks like the picture it's the same thing. If you must have a name brand, get one with a tank. It keeps the airflow smooth and even.
As far as airbrushes, I would highly recommend one of the name brands. I've tried the Harbor Freight, Cummins tools, and eBay no-names. They work, but my experience was they didn't perform anywhere near as evenly and consistently as the Paasche, several Iwatas, and Harder-Steenbeck I've owned. All of those worked admirably. Badger, Grex, GSI-Creos, etc. all make good airbrushes. Two retailers here in the states I've bought from are Dixie Art and Midwest Airbrush Supply.
Side note on old guy hand problems:
I'm currently using a Harder-Steenbeck Colani. It was on the expensive side, but it was a last ditch effort to find a way to airbrush without my hand cramping up. My spraying sessions with my Iwata were getting frequently interrupted to flex out cramps. Before the Colani, I had tried the eBay airbrush holders even frankensteining two of them together and adding a carved wooden handle to fit my hand. This worked as far as the hand goes, but all of this made the airbrush long, unbalanced, and completely unwieldly. I also tried a cheapo eBay lever action pistol grip airbrush but just couldn't get the hang of it. This might be a good solution for anyone with arthritis or chronic hand pain as well.
Stuart