Register & Setup of IpodTouch

i have a 8GB Ipod Touch that i have not registered or updated to the new software yet because my home computer is broken. I have an Itunes account through my home computer.

I want to be able to access I tunes through the Ipod, but f i register this new ipod through my work computer will i be able to use it on my home computer?

I'm concerned that this ipod can only be used on one computer and fear i will screw it up if i register through my work computer etc..

and advice or info is appreciated.

many thanks