As a guy that has done transfers all over the Phoenix area, I think I can weigh in on this one....
Bear Arms in Scottsdale is top notch. They charge $25 and they will not even open the shipping box until you arrive, so you know your gun will not be fondled.
Clyde, the owner of Pistol Parlour will no longer do transfers. He's had hassles doing them before and will now only order guns and sell what he has in stock. He has killer prices on used and consignment handguns.
Shooting Star in Tempe will no longer get much of my business. Bill, the owner, is a stand up guy and I would buy from him in a heartbeat. However, he is always busy with his main business, which isn't guns. The gun store is just a side business for him. Unfortunately, you will rarely deal with him directly, and he has a couple of a holes that don't know a whole lot working for him. Also, they used to charge only $15 for transfers. Now they charge $25 or $30, and they require things that aren't even required by law. You will see Bill at gunshows, so it is safe to do business with them then.
If Arizona Firearms and Collectables has changed ownership from what it was in 1999, they are probably a safe bet as Krept said. But if it is the same greasy owner as before, steer clear.
AJI Sporting Goods in Apache Junction only charges $20. They provided me with the easiest, straight forward, and hassle-free transfer of ANY I have ever done. Jeff, the owner, is an honest businessman. However, just don't expect a smile and friendly banter to go along with the transaction. A little gruff and lacking in people skills, but my recommendation for a pain free transfer.
Hope this helps.