My eldest just left Birmingham and youngest is at Leeds. They are not hugely different but here are my opinions of both:
Birmingham: positives are it is a big, vibrant, diverse city in a part of England that is easy to get to from anywhere. Your children will learn how to cope with big city issues, without being too overwhelmed (most live in Selly Oak which is students as far as the eye can see). Yes, it can be rough, but imo it isn't bad for students to experience this. It made my DD more streetwise. Great student body, lots going on, great sports opportunities, easy to get involved in anything you like. You feel the uni is a well oiled machine. My DD loved it and as an overall student experience it was all she could have wanted.
Negatives: Uni of B is good but in our case I'd say the tuition was pretty average. Lots of striking and unhappy professors. I realise this is the case for most unis, but once corona appeared the online learning was next to nil. DD tried to talk to the careers centre for advice; she had to wait weeks, and then the person told her she didn't really know what she was doing. ie undertrained, understaffed and underpaid. These things have a knock on effect on the students. Probably not the case if you are studying medicine or some more vocational course, but I don't know. And yet they are the richest uni in the UK after Ox and Cam I think, and find plenty of money to put up buildings (my personal bugbear).
Leeds:
Positives - such a great town. Smaller than Birmingham by a long way, so feels more manageable if your children are less adventurous. People are super friendly. My DD had halls in Headingley which is a lovely part of town. She told me she literally never saw an adult, or talked to an adult. Every pub is full of students, every shop, etc. This suited her down to the ground. She walks everywhere, which I was happy about. Because there are so many students it feels super safe. 2nd year she will be in a rougher part of town, so may have a different view next year. The tuition seems great at the moment but, as with Brum, once Corona appeared there was next to no online teaching, and they passed her whole cohort with no exams. She is on a very competitive course as well, so I am worried about her not really being prepared for 2nd year.
All in all I am really happy with both the unis my children went to. My one caveat is that modern universities seem to do more to close their minds intellectually, than open them. They both seem to have learnt that there some subjects can't be discussed in case someone says something that is unacceptable (ie unwoke). It's very depressing to me, but they think I'm the one with the problem. Not sure you can escape this mindset anywhere though.