Geez, what's with all the negative waves man?
Oddball! Is that you?
I love that movie.
Logic would suggest you match the compressor to the tools you'll be using and add a little fudge factor to the number.
What's the CFM rating of the highest-CFM air tool you use?? Multiply that by 1.25X and that should be the min. CFM you should look for.
Answer that question first and then move on to things like noise, voltage, portability, etc.
FIFY.
I know folks with "direct drive" air compressors. Yes, they'll squeeze air, yes, you can run air tools from them, sort of. They're so noisy they'd drive me bat-**** crazy if I had to use one in my own shop.
Air tools and 125-psi shutoff pressures DO NOT go well together. The single-stage compressors that go to ~155 psi could be a real advantage. Maybe. I've never used one.
I had two single-stage compressors, a 2-horse /20 gallon, and later a 5-horse/60 gallon--neither of which I could put a regulator on because I
never needed less pressure than what was in the tank. I was thrilled to dump 'em and get a 2-stage. I pretty-much ended my water-in-the-air problems, and the tools have proper power.