This is a mistake.
You have found an international ranking table and looked up City's overall ranking (in the world) out of a very small pool. You'll note that City wasn't ranked at all in that same table for law. Look at any table for UK universities, otherwise you aren't comparing like with like - you're not thinking of going to the University of Tel Aviv or University of Tasmania, so there's no point comparing them. I don't think you'll find a UK table (for Laws) where City isn't in the bottom 10.
Of the ones you've cited - Birmingham is by far and away the best option - did they give you a CCC if you firm?
City is bad for law and problematic in general. RoHo is in a boring location, and not great for law. Brunel is a mixture of both of them. Birmingham is an excellent university. I wouldn't even think twice.