Some very well stated additional points made.
1. Pressure: I use Iwata and Badger AB's, with Tamiya acrylics. With a properly thinned mix I begin with a pressure of 15-18 psi, then adjust as I proceed, changing as needed, almost always upward to as high as 20-22. I know it sounds like a sloppy method, but I find with airbrushing paints you just "do what seems to work."
2. The suggestion to clear tip dry with an increased pressure blast is spot on, at the rare times I experience it I can quickly clear it with a 25-30 psi spray. But still, once in a while I'll use a cotton bud and lacquer thinner, to wipe the needle off. Maybe more out of habit than anything else.
3. I find in many circumstances it is a better practice to stick with the manufacturers thinners and additives, it seems likely they will have done the experimenting needed to ensure full compatibility and function. As stated, in the case of Vallejo, alcohol is a definate nope. For Tamiya I use and like X-20A, but I also have used distilled water, alcohol and lacquer thinner with no negative results. Of them, I prefer X-20A. The large bottle lasts a very long time.
4. For best adhesion, I find it a requirement to prime first. I use Tamiya gray primer, have tried Model Master gray enamel with lacquer thinner for a good plastic bite, also Tamiya gray acrylic with lacquer thinner as a primer. I think there may be many options for this point.
5. For AB maintenance after spraying anything, but especially acrylics, I think it's best to do a dis-assembly for full cleaning. At the very least, take it apart back to the needle bearing. Acrylic paint that has been allowed to dry inside the AB can still be removed, but you'll be at it for a while. The little interdental brushes from the drug store and lacquer thinner work really well for this. Strongly recommend a good look at "Don Wheelers Airbrush" website, he explains so clearly in text and photos about this and other AB subjects.
6. Gary,(Texgunner,) nails it to the wall, we all like what we like. As much as I enjoy Tamiya acrylics, there are several jobs I will only use Model Master enamel for. It just plain works, I'm used to it and I know in advance what the results will be. My best full gloss finishes are done only with it.
7. Not to run the Model Color down, but I agree with Greg, too bad your first use with Vallejo is that choice. I'd recommend looking at on line hobby dealers or ebay for paint purchases, then get something actually intended for airbrushing. I have used Scale Hobbyist, with excellent service for some time. In any event, Vallejo would not be my first choice, based solely on my personal experience. I find it to be a bit touchy and unpredictable, but I'm not trying to insult those that do prefer Vallejo.
8. Member "Bick" got me sold on craft acrylics from the art stores, they work very well for me in many applications. For some large surface area jobs, they are of good finish quality and dirt cheap, compared with hobby shop branded paints. Of late my favorite is "Craftsmart," from Michael's, 2 ounces for a buck and some change. Compatible with alcohol and lacquer thinner, LT gives a good bite for plastic adhesion.
At the end, after you gain your own comfort level based on experience, you will have determined what works for you.
Patrick