I've flown about 1100 hours in an R182RG, much of that instructing, and I've learned a couple of things about the plane that are in the "good/great to know column:"
Sit in the plane and have someone else push the tail down until it touches the ground. You will then learn that if you cannot see the end of the runway (and not just a little bit, but a lot) then you are dragging the tail. Your sweet spot is about 8 inches on landing.
You can fly around all day long with flaps 10, but full flaps are nothing but really big speed brakes.
This airplane will slip like you won't believe.
The 152/172 is a finesse airplane. The 182 is a power airplane, but fly it with finesse and you'll get lots of performance out of it.
At glideslope intercept, power to 17 inches, flaps 10, gear. It'll drive right down the beam.
When taking off, advance mp to 20 inches, release the brakes, then slowly/smoothly advance to full power. This will save your enginea lot of wear and tear. Also, do a takeoff with 20 inches of mp-you'll see that you'll fly, but with less performance (obviously). Be careful adding full power though, the torque can cause a wing drop if you advance the power too quickly.
Do a few falling leaf stalls to get a feel for the stall characteristics. Like many airplanes with strong engines, the power on stall is the most dramatic.
This is a really fun airplane to fly, and to make sure it stays that way, check your gear a LOT. Each leg of the pattern, and again on short final. I recommend against retracting the gear in the pattern, unless you're doing specific landing gear work.
Have fun!
-LC