I have my iphone backed up to my older power mac and I want to move it to my new Mac Pro.

My music and movies are backed up to an external HD so I can easily move the music and movies into itunes on my new computer but what about data like contacts, aps and etc? Is there a way if I plug the iphone 4 into the new computer it will back up the iphone to the mac pro and make it the computer it will sync to? Or do I have to like manually move files around? Thanks in advance.