Hunt around on your local Craigslist, or Bargain Finder/Penny Minder paper for a 1/2 HP, belt drive compressor. Or whatever you can find in your price range.
Without impact tools, or a car to paint or sand, you really (REALLY!) don't need much of a compressor to blow the amount of paint you will need to shoot to cover a gun at a time. If you end up needing a prolonged usage, such as sanding down a car with air tools, you can rent a suitable compressor. If you are painting more than one color, you will spend more time mixing paint, and changing it out, than spraying.
Check out the ratings. 2cu/ft@45 is pretty much equal to 1@90 psi. Belt drive compressors are quieter, as are slower RPM ones.
Turbine HVLP units are a choice to make when you want to make a living painting with it. Don't worry about them for light duty home use stuff.
I have one of the Princess Auto sorta HVLP top feeder touch up paint guns, and it's a pretty decent rig for $25. Get a pressure regulator for it, you can live without a gauge. Set your pressures on a test panel, just some brown paper or newsprint. You want enough pressure to get a nice spray pattern, without a lot of spatter. Unless you want spatter, anyways.
If you find a direct drive compressor, get some extra hose. Put the comp outside, or whatever you have to do to get a little distance, when using it, and you don't have to listen to it. The direct drive ones can be noisy. If domestic harmony is at stake, lock yourself in the room with it, and wear ear plugs.
Get a decent filter respirator, and some organic vapor cartridges! Breathing that #### is NOT the way to along happy life! Make sure it fits!
Cheers
Trev