I would like to get a nice airbrush. Ok my question is can I use any air compresser, or do I have to use say like a Badger compresser with a badger gun? I have an Craftsmen aircompress that I use around my woodworking and airing up my tires. I was just wondering if I could use the same one.

Provided you can get the right adapters to connect the hoses in an airtight way, what you propose is technically possible.

However, there are going to be issues to contend with. If the compressor does not have a regulator/air tank, you are likely to have an air flow that is stuttery, rather than smooth. You may be able to mitigate this by getting a regulator to install in the line. I use a non-airbrush compressor myself, and I've got Paasche's combination regulator/moisture trap in my line. Works just fine. You'll also want the regulator so that you can dial the psi up or down.

In short, it's worth a try, although you probably will want to add 1 or 2 things to the setup. I'm sure someone around here who is more knowledgable in compressors can offer more insight. Good luck.