I'd get an AZ permit before UT or FL. Very little training (a hunter safety course or NRA safety course will do), less cost for permit and last 5 years.
UT requires a special UT-specific course; not sure about FL, but the cost of the permit is $117, but it lasts 7 years.
I use these maps to determine where I can carry legally with what permit:
http://www.usacarry.com/concealed_ca...city_maps.html
Good luck.