Welcome to AZ and enjoy your (repeated) stays!
Open carry and concealed carry in AZ are, mostly, identical as far as when/where, and both are pretty permissive.
The most notable difference is that when yuo are OCing, you need to be aware of wether or not an establishment serves alcohol (and in AZ, more than a few do!) OC in ANY establishment that serves alcohol for on premises consumption, ie: a bar, restaurant, etc. is 100% off limits. In those cases it is necessary to conceal, and even then, only if they do not have a sign posted against it (and posted next to the liquor license.)
Schools are another concern and since I don't attend any, nor have any kids who do, I'm not terribly familiar with those rules, other than the once or twice a year I'm at a local school that is being used as a polling place. In those cases, the gun stays in my car, unloaded, and locked away. Unless you're a cop there for work, you pretty much have to do as above. Having your CCW permit does at least make THAT much possible though.
I can't off the top of my head think of any other relevant specifics, so I'll defer to any others who can chime in with more comprehensive information. One thing worth noting is that in AZ, CCW and OC are not strictly one or the other. IE: In texas, you MUST be concealed, and not print and all that jazz. In AZ if you're carrying concealed, and your shirt rides up, not only is it legal, but nobody cares either.
Oh, and the usual suspects for NO carry apply such as court houses, federal buildings, universities, etc.