Besides the nose-heavy feel others have mentioned, the only important
differences are in landing, and there are two things to remember: 1)
Trim really determines airspeed. 2) Airspeed is everything.

Pay close attention to your speed on final. Don't come in too slow or
you may lose elevator control. Coming in too fast isn't too big a
deal. The 182 is a very forgiving airplane, but it's NOT as forgiving
as the 172. If you have the trim set wrong, you're more likely to have
a bad landing.