Southport and Merseyside is a private members club, not a club in the true sense of the word, more a very large group. Joining fee is about £700 at the moment, and then about £60 or £70 per hour.
As for the others at Liverpool, they are really schools. I wouldn't imagine (although I stand to be surprised) that any of them would be interested in daily hire, or if they did there would be limits. The "you pay for a minimum 3 hours" kind of thing.
My advice is go to Caernarfon. Sam the airfield manager is a truly great guy, is interested in general aviation,(not like Peel Holdings who own Liverpool) and will bend over backwards to promote flying. If nothing else the bacon buties there are superb!!!!
The best thing is highlight a few places, clubs or whatever that appeal to you, and then go along and have a chat, but I would reccomend CAE, and this is coming from a student learning at Liverpool!!!