Luke on the link above will be able to quote you for a full-on screen replica and is based in Leeds. But you'll find a "standard" DeLorean cheaper as there are more of them about.
There are only 3 screen replicas for hire in the UK, the other two are based in the south east.
Luke is in Leeds:
http://www.fusiontimetravel.co.uk/Brian is in Bognor Regis on the south coast:
http://www.delorean-hire.com/and the third is a man named Steve, and I do not recommend you deal with him. He is based in Kent.
If you're interested in a "standard" DeLorean it depends how far north or west you are, but there are a few in Manchester, e.g. Scott:
memberlist.php?mode=viewprofile&u=134 or Phil:
memberlist.php?mode=viewprofile&u=156