Can't sync music from iTunes to iPhone 5s?

I got an iPhone 5s after I water logged my 5 and now I can't sync my iTunes library to my new phone, also I have iOS 7.1.2 i don't know if that makes a difference or not

Have you told the new phone to trust the computer it's connected to? They are not familiar with each other yet. Also sometimes make sure you enter your passcode to unlock the device when syncing. Passcode can sometimes prevent a connection with iTunes. Best luck.
http://support.apple.com/.../kb/HT5868

You may refer to this tutorial, it's about how to fix iTunes sync problem with iPod.