I have used my shop compressor with my airbrush quite extensively. The adapters you need should be redily available at your local hardware store or the dealer that sells airbrushes and their accessories. One thing to watch out for though is to insure that you disable any automatic oiler if you compressor is equipped with one. Oilers are great when running air powered tools but make a mess when mixed with the air that is used to drive your paint. Also using a seperate dedicated hose is warrented in this case as the hose used with the oiler will have oil contamination in it.
Happy modeling!