Syncing iPhone to New Computer

I just bought a new MacBook and one of the first things I did was transfer my iTunes library from my old PC to my new computer using Home Sharing. Now, I have plugged my iPhone into my new computer for the first time, but it is still synced to my old computer. I want to sync my phone to this computer, but I do not want to lose any data (songs, app, photos, contacts, etc.), and I do not want all of the songs that I have transferred into the library on my new computer to be put onto my phone. How can I sync my iPhone to my new computer without making any changes to what is on it?