OP, all of your choices are good, QMUH included. I suggest that you should not let your parents determine your choice. If you live in London, there is something to be said for spending a few years in another location, especially if you later pursue a legal career (which may well place you in or near London). All roads and railway lines lead to London, so visiting or being visited by your parents while away at university won't be an issue.
If you achieve AAA or better next summer, you could also consider a gap year and have a go at Oxford, Cambridge, UCL etc.