Hi there, OP!
While I can't recommend which you should apply to (because I don't know you well enough to give that sort of advice), I am going to suggest some of the things you might want to consider. It does seem like you've done your research already, but I have some points for you to think about just in case:
- Firstly, Cambridge allows students to study more topics than Oxford. In Cambridge, you do 14 or 15 modules, not including Legal Skills. Oxford only allow 12. Oxford also give their students fewer optional modules: 2 compared to the 6 at Cambridge. This may or may not be relevant for you, depending on what you're interested in.
- Oxford require their students to specify if they want to do Law Studies in Europe at the beginning of the course. Cambridge don't currently have this option available because of Brexit, but when they did, you could choose when you were in your second year. This might not be relevant to you, but I thought I'd add it.
- You already know about how the courses are examined, so I'm not going to go into more detail. Might be something to consider.
Overall, I'd really recommend thinking about the course you'll be studying rather than which one you're more likely to get into, or is cheaper. I know the last part is easy for me to say as someone who had much cheaper fees being from the UK, but if you're going to be spending/borrowing a lot of money, it's worth doing so for a course you really like.