Yes, I get my guns from Bud's shipped to AZ all of the time. Just find a local FFL dealer, which Bud's has a list of already approved FFL dealers in your area, and you are good to go!

Yes all firearms must be shipped to an ffl ( Or CR for cr eligible items) ammo and accessories can be shipped directly to your home.
Arizona is one of the "good ones" and is still considered a free state.

Daryl, yes Sir. Details here : budsgunshop.com/feeds/state_reg/arizona_restrictions.pdf

YES, Buds do ship to Arizona. I hope this helps!