In my head Kings and Bristol are about equal in reputation, although some firms do seem to prefer the London law schools. League tables don't mean an awful lot, from what I've heard employers like Oxbridge, UCL, LSE, Durham, KCL & Bristol (obviously there are some more but I can't remember them!), despite them not being the top 7 in the league tables. Bristol is a traditional, well-established university and that gives it a good reputation. Plus obviously the course is pretty hardcore.
I'm at Bristol and I'd say come here if that's where you prefer. As everyone has said, the difference between Kings and Bristol is negligible. I think thoroughly enjoying being at uni makes up for any difference between them anyway!
Cxx