Tom, I peruse this site every couple of days and the 2 most asked questions are about the cutting of crown molding and the second is removal of paint.
I have installed miles of crown molding and if I could give someone a few basic pointers, I suggest the following: 1. Almost all cuts are 45 degrees (that is of course exactly 1/2 of a 90 degree angle). 2. When cutting the molding, make sure that the molding lays against the say as it will be laying on the floor, wall or ceiling. 3. Keep your scraps of molding and when in doubt, make a practice cut on a scrap. 4. Visualize the cut. I know this sounds kind of corny, but when you are installing crown molding in and around areas, you can just simply get confused as to: "is this an inside cut or an outside cut?". Is this going against the wall or the ceiling.
I truly hope these few tips help you, and like I said in the reply title....don't make it hard. good luck terry