Final point to remember is, Top UK students are competing for the same projects as yourselves especially at prestigous/russel group universities, i'm not saying dont apply just keep your options open, especially seeing some UK universities with bad reputations also have departments which are very highly regarded and vice versa. To check a departments research quality look at their RAE scores 4,5 and 5* are the top three. To check their teaching quality look for QAA scores which are generally out of 24.
best of luck and remember the best place to live and study in the UK is definitely central london.