Yep, I'll second that--practice, practice, practice!
I use a Paasche VL, with a 1.5 hp Craftsman compressor with a 3-gallon tank. The brush is a double-action, but I haven't quite yet gotten the hang of using that feature.
I have been getting good results with Tamiya's acrylics, especially once I learned to use their proprietary thinner with their paints. They are formulated for airbrushing, and I tried water and isopropyl (separately) and neither thinned the paint as well as Tamiya's thinner. I have tried lacquer thinner, too, and that worked pretty well, too.
I also use Model Master paints. With enamels, I use mineral spirits, and with acrylics, I use isopropyl, and they have worked pretty well for me.
And I have used craft store acrylics, thinned with water. They worked OK, but their pigments are rather coarse, and that impacted the final finish on the model.
When I use the airbrush, after I finish with one color, I do a quick cleaning, blowing more of the thinner through the brush till it comes out clean, and cleaning the cup and the neck from the cup into the brush. When I am completely finished with a session, I break down the brush and clean it with lacquer thinner. I have some fine brushes, about the diameter of pipe cleaners, that help in gently scrubbing the various opening and tubes.
But practice, and don't let mistakes get you down. I've run into some hurdles, let myself get mad for a second or two, then sat down and thought it through and figured out the issue, learned the lesson and moved on. A good one was forgetting to check that the nozzle was installed. The brush blew air but no paint came out. Finally, I started breaking down the brush and immediately saw it. And boy, was my face red!