Never use an air brush cleaning kit. It's mostly a scam.
They actually risk damaging the seals inside of your airbrush which will then allow the paint to flow back into the airbrush and potentially damage the trigger etc.
Watch the following video from the owner of badger airbrush:
http://www.youtube.com/watch?v=tsW-vN0_lHw
It's a long one, but well worth watching for anyone starting with an airbrush and even some tips for advanced users.