Can you sync an iTunes account to more than one computer?

I have a new iPhone (yay!) and I have a basically broken but still functioning computer. I don't want to talk to apple since they charge so I figured I'd ask you all. I'm going to get a new computer probably in a month or so and I want to know if I can sync to my current computer and then to the new one and have the same music and access and if I can have my iTunes account on more than one comp. I could probably google it but I'm exhausted right now. All help is appreciated!

Yea
You can sync your phone on up to 5 different computers you just have to authorize the computer

The music and other media are actually stored on the computer.So, you will have to install iTunes on the new computer and then move the music over. Here's an article from Apple on how to do that: http://support.apple.com/.../kb/HT4527.

Also, don't forget to disable any Audible authorizations on the old computer.

The following is from Apple article:
Using iPhone, iPad, or iPod with multiple computers
iPod shuffle and iPhone are intended for use with a single computer. You can't load music from multiple computers or iTunes libraries onto iPod shuffle and iPhone like you can with other devices.

Sync is only oneway, from PC to your device. Unless you have the music on your PC, iTunes is going to wipe out what you have on your device if you are syncing to a new library.

You can only transfer Purchased music over to Itunes on your PC.
iTunes Store: Transferring purchases from your iOS device or iPod to a computer
http://support.apple.com/.../kb/HT1848

As for you own music, you may have to use a third party software to copy back to your iTunes library. A good Free one is called Sharepod which you can download from Download.com here:
http://download.cnet.com/...ag=mncol;2

Actually you can.

When you get your new computer:
1.Sign in to itunes
2.click store or tools tab on the top I'm not sure
3.click authorize computer
4.go to the actual store part
4.go account
5.click purchases
6.sync purchases

then you will have all the songs/ apps whatever you've purchased on the new computer then you can sync your phone with the stuff you've purchased unless you have songs that were not purchased from itunes.

This may not be 100% accurate because i'm doing it from the top of my head, but use your common sense if a step isn't correct.