The most important thing is to get some practice before you try it on a good model. It takes awhile to develop the touch, and you can ruin a good model if you go straight to painting on the model. Try some practice on some old sprue, or a plastic bottle you are throwing out, or a discarded kit or whatever.
You will need to thin most paints a bit. I use Testors enamel and thin about 1:1 roughly. You also need to set the right pressure (I am assuming you have a compressor and regulator). I typically use about 15 to 20 psi.
You also need to find the right distance to hold the airbrush from the surface you are painting, and how fast to move the airbrush over that surface. I find there is more of a tendency to hold the brush too far away from the surface, getting a dry or rough pebble-like surface. Consider the airbrush more like a regular brush, and less like a spray gun or spray can. If you are too close, or move the airbrush too slowly, you can get too thick a coating, with paint runs, but I find this is less a problem than folks getting too dry a coat.
Again, the only way you learn the correct settings and moves is by experience. I'd practice on scraps for at least half an hour before using the airbrush on a good kit.