For the compressor part of your question, I use a 3 hp const. compressor with a big air tank. It was on sale at Sears, back in the 70's, and it's still going strong. I added some compressor oil to the reservoir tank when it was new, and that seems to have prevented the tank from rusting out.
I use a combination pressure regulator and moisture trap in front of my air brush hose connection, so it's easy to adjust the air pressure if I want to. I leave it at 35 psi, and use an Iwata inline micro air valve to cut the pressure down while I'm painting.
The brand of const. compressor isn't important.
Having enough air to keep constant pressure when you're painting is important.
If you don't have noise issues, you can use a cheap Harbor Freights compressor.
If noise is an issue, a dedicated air brush compressor will be much quieter. For those compressors, quality is important, because they run constantly. I've never owned one, so someone else here will have to give you advice on them.