IPhone 4s not syncing to new laptop?

Ok so I finally got up to put my iTunes onto my laptop from my desktop. I downloaded iTunes, put all my songs on, and now it's not syncing for some reason. I updated my iPhone, now I don't know what to do. There's all these things about "backing up your iPhone to your computer" and I clicked on that to download but nothing really happened.
I click sync and nothing happens. I googled it and some people said they had to assign their phone to the new computer or something.
I'm clueless. Someone help!

Added (1). I just downloaded the iTunes off the website, so how could it not be up to date?
http://www.apple.com/.../download/
Off that website^ so it has to be new

Either your itunes isn't up to date or there's something worng with your sync wire.

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