Multiple iPhone Names
I have two iPhones, my 5S which I use everyday and my old 4 that I just want to use for iTunes. Is there a way to change the name of each phone so as to distinguish them when syncing. Right now on my iTunes account they're both registered as "[my name]'s iPhone." I know I can change the name on the phone itself through Settings > General > About > Name. My concern is that when I go to sync them, iTunes will not recognize the new names. Thanks for any responses.
iPhone 5s, iOS 7.0.4