You don't say which model of Piper your preferred UK school has, but the PA28 is the most common.
The primary flight controls in both this and the C152/172 are very similar, they all have foot pedals for rudder, nose wheel steering & differential toe brakes, with a control column/yoke to move the ailerons & elevator for roll & pitch. They all work in almost the same way and have a similar feel. The main flight instruments should be virtually the same.
One difference is the Cessnas tend to have electric flaps and the Piper has manual ones. Also the Cessna will have plunger type engine controls, whereas Pipers tend to have quadrant levers.
The secondary instruments, switches and avionics will be totally at random in the cockpit, even on different examples of the same aircraft type.
You will need a little time to familiarise yourself, when switching from one type to another, but it shouldn't take long.