Have you got another licence? If you have, you should be able to hire a car using that....
Yes, you have to change your details on your licence when you move, or change your name and the UK licence has to be renewed every ten years. Unless you have the old style (as said above) and then if you don't move, you can drive on that until you're 70.
A friend of mine recently had to change his old style licence, after moving from a home he'd lived in for 30 years. He had to send his passport and some other ID to Swansea to get a new licence.
If your UK licence is of the modern variety and is more than ten years old, it is now invalid (as my son who lives in Oz found out as he can now only drive here for a year before having to re-take his test). But as I said, you can also drive here for a year on a foreign licence and therefore should be able to hire a car on yours, if you have one. You probably shouldn't be driving in Germany (if that's where you live) on your UK one as they probably have a similar law (as does, for example, so does Australia).

