Durham vs. Bristol for Law? Watch
You have to be personally motivated to excel in the course. If you are so, there is a strong foundation to support you. The university is beautiful, the town is lovely, the resources (re library) are great, the extracurriculars are insane. If you are into jazz or musical theatre or any kind of performing arts, Bristol can really help you blossom with its opportunities.
Durham is better for graduate prospects and prestige, but that's not to say that Bristol is bad by any means. Bristol is probably the best after Oxbridge/LSE/UCL/Durham. Also remember that Durham wants A*AA and Bristol wants AAA.
Another thing: Bear in mind that in Durham, there's a chance you could be forced to share a room, and you will be expected to move out of your college in the second year.