I'd imagine Keele would be difficult when your not living on campus. After visiting the university, any off-campus housing (for your second year etc) seems to be miles away.
Manchester is a great city. You'll find yourself knowing the place like the back of your hand really quickly and there is something for everyone - whether you go to the Lowry studio and watch amazing plays or to the gay village for a night out, or shopping at Aflecks or in Harvey Nicks. If you want green-ness lol, then there are large parks scattered everywhere. Just outside the city centre, about 10 minutes on the bus, you can reach Debdale park, which has tennis courts and all sorts. Plus, you've got Medlock Vale if you travel for like 20 minutes on the bus, which has loads of places to walk / think or to ride horses.
Although it is good that Keele have the modern facilities, Manchester is a longstanding university with a strong background in science.
I hope you are happy, where ever you decide to go. =D