How do I transfer my old iphone contacts into my new iphone?

I've just bought a new iPhone and laptop, how do I transfer my entire iTunes (songs, apps, contacts etc)?

• I'm in the process of copying everything over to an external hard drive...will this also copy over my apps and contacts? I've downloaded iTunes onto my new laptop and have logged in with my existing username and password, and I was under the impression that once I did that and synced, all my apps and contacts would be there - but they're not? Is there a simple way to do this?

• Answer:

  There's a software that allows you to transfer the entire itunes library from an old to a new computer -> http://www.copytrans.net/copytranstuneswift.php