If you had "military training" or some other type of training, or permit, outside Arizona -- Its a really good idea to take the CCW class with a local group that focuses on local laws and liabilities....
Its important to know what your personal liabilities, according to local laws, will be if you end up in a situation where you actually have to use your firearm for self defense....
Most of us who have been in shooting situations will tell you, there are a host of variables that the average person usually doesn't consider. Up to and including civil liabilities, and the very real possibility that you will be sued in civil court, even if you're found justified in your shooting.
Refresher classes are always great to keep you up on changes in the local laws.