Oxford,LSE,UCL,KCL
Be aware that these are all mega-competitive Unis and every year thousands (yes, thousands) of applicants who meet or even exceed the entry requirements are rejected. They are not 'better' Law degrees, however you think you can measure this, maybe its just supposed glamour of 'London' etc that makes them this competitive. Applying to all of them could mean that you end up with no offers, or only with offers you later realise are not achievable.
I'd advise applying to Cambridge and two of these initially. See if you get offers etc, and then add two more strategic choices before the January deadline. Remember that you do need at least one choice with a noticeably lower grade requirement as a potential Insurance - Lancaster (AAB) would be a good choice.