In my view, it's not the SCHOOL you should be selecting, but the INSTRUCTOR. The choice of school is much less important.
Go to the new school, find an instructor you get on with and ask him to instruct you. It's your money and your choice.
It's a while since I first learned to fly, but from my experience, I think you'll get better value for your money from an older, experienced instructor who loves what they do, than you will from a youngster who is only instructing because they have to, until they get an airline job.
Before changing schools though, remember that the weather in the UK is usually less than helpful to flight training in the Winter and you may be no better off if you change