The assertion that Nottingham is "the best law school" is controversial. Nottingham is indeed a good law school, one of the best in the UK. It would not usually be seen as better than, for example, Oxford, Cambridge, UCL, and LSE. There is unlikely to be consensus on which UK university is the "best" for law, or even on what "best" means. The rankings published by various media are pretty meaningless, based as they are on assorted mixtures of quantitative measures and subjective views.
Nottingham and York are north of Birmingham, although I would encourage the OP not to limit his or her choices by geography. The UK is not a large country and even its shonky transport systems can get people from one end of the country to the other in a relatively short time.
Given the OP's predicted grades, he or she might be a competitive candidate for Oxbridge, the big London universities, and other universities with competitive entrance standards.