I was actually looking for info on moving between light SEP aircraft. E.g. C152 to C172. With just under 1000 hours (600 as instructor). The guy I'm going to hire the aircraft from (in Spain) insists that I won't need any circuits etc.
If it is a relatively simple change in type like your example then a briefing and a read of the POH should be enough. There are differences of course, bit heavier, bit more power but personally it is worth appreciating the difference of effect with flap. Earlier 172's had plenty of flap (40 degrees) with not too much power and the later ones (P model and onwards) have a bit more power and only 30 degrees flap. This makes them a more slippery and inclined to float. Worth knowing if your first circuits on type are on a 6-700 m runway.