I applied to both York and Nottingham. I ended up attending Nottingham. In the end it fell down to which campus I liked more, as both unis (on the face of it) offered all the stuff I wanted to do and from an academic/career POV were pretty much identical.
I had a few friends do law at York.
From my personal experience, I would not recommend Nottingham for law. Many of my peers from the years above and below me would say the same thing. It felt like the university did not have much interest in us doing well, instead just how many people they could cram into year groups.
A lot of the information about Nottingham is very vague. I wonder if that is on purpose, as it is very much an expectation vs reality.
My friends who graduated from York law said the opposite. Especially as the teaching style is much more practical, you get a lot more support academically. Also, the opportunity to choose practical vs more traditional 'academic' modules was a massive plus at York, which Nottingham severely lacks. Nottingham is very academic black letter law, which can be very boring and difficult for 3 years, especially with very little support. Plus, you don't build practical 'lawyer' skills unless you're doing practical style work, which is a massive plus for York.
Unless you dream of being a commercial solicitor in London, Nottingham probably is not the university for you.
York seems to have loads of great opportunities that their School of Law offers the students, which will make the difference in the long run.
Whilst Nottingham has great law societies, they are student run and students can only do/organise so much alongside their degrees. The School of Law doesn't really offer much career wise.
I've heard Nottingham academic / research postgrad is really great, but that's something that shouldn't make much different in your decision, as you can apply there postgrad from a different university anyway.
Hopefully that helps. Ultimately I can only talk about my experience, but had I known what I know now, I would not have chosen Nottingham.