The domain name has been registered/bought and the space has been ordered. Just need to wait for them to do whatever it is they do to get it up and running for me. *happy dance*
There was a scary moment with the domain registering when, instead of saying "thank you for your purchase", it took us back to the "is this what you want page?". In the end we had to phone them...so I have just spoken to a lovely bloke called Jeff (or possibly Geoff) in Arizona who thought it was great that it was 9pm over here and only 2pm over there.

Now I have to see if the confirmation emails have arrived yet.