I had one that was similar to the Harbor Freight one and it's about as loud as a vacuum. Pulsed a bit which shouldn't be a huge concern for painting cars.
I have one similar to the Coleman Powermate, only mine is a 3 gallon "pancake" tank and it's LOUD. AS IN VERY LOUD. I don't care, as it's outside in a box. My neighbor might mind, but I don't care about that either, so is his swimming pool filter motor!
The third on (the air tank) will be the quietest, as it will only be hissing air. Should easily hold enough air for a full kit, perhaps even two. The problem with tanks is they run out of air when you least want them to.
If I were you, I would try the tank first. The worst thing that can happen is that it gets you by until you can afford a better compressor, and then you can use the compressor to fill the tank.