Hello. I'n new (as if you can't tell from my post count )

Saw the Bitcoin discussion on /. yesterday and am quite intrigued. We're writing a game and for the first version many of the players have asked for other payment alternatives apart from our credit card processor and Paypal. Maybe Bitcoin will fit the bill, I'm not sure yet.

I still have a number of things I'm looking at, but for now my first question is how do I use my bitcoin wallet on multiple PCs? Is there some form of identification that it uses that will allow the bitcoin client to synchronize the wallet between, (for instance) a laptop and a desktop PC?

Thanks!