My advise....
Have a look at Old Sarum
Old Sarum Flying School
Join as a Pilot Club member and you can fly a very new AT3 for £124.
One thing to consider is most of the flying schools you will visit will have Cessna 150-2, Piper PA-28's etc. In most cases these are pieces of old junk, which were so aptly described by a non-aviation friend as aircraft with interiors like a 1970's living room and Hillman Hunter dials.
Honestly, from your description of what you want to do a very old Cessna or Piper will put you off flying for life.
I think a big consideration should be what type of aircraft do I want to experience flying in. Ultimately they all fly the same, but the experience will be vastly different.
(You could also try a Tiger Moth!)