There isn't a huge amount of difference between the two. As has been mentioned, the high wing / low wing is the biggest difference.
I personally find the low wing aircraft easier to land - you get better visibility for the landing attitude and judging the flare in ground effect seems easier. The 172 / 182 have quite a big panel where flaring often means you don't get to judge against the horizon.
General handling wise, there isn't too much difference - both very stable aircraft. They have similar stall characteristics and both resist wing drop quite well.
Low wing aircraft have fuel pumps, whereas the Cessna aircraft are gravity fed. Doesn't make much difference but just something to be aware of.
Cessna flaps are electric, Piper flaps are manual...almost like a handbrake in the centre console that you use to extend and retract flap.
Given the choice, I'd probably go for the low wing Piper, but then I've spent a fair few hours in Cessnas so am happy flying other low winged aircraft.
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