We never had any problems with any of our 4 boys. We did put breakable ornaments up high, but that's about it.
Ditto for my 3. But, we do not put the tree in the family room. It goes in the dining room because I like it in front of the window so I can see it from the drive. I'm sure that helped because it's not a major traffic area in the house. I keep promising myself that one year I will buy a second tree to put in the living room. Last year I went to Garden Ridge after xmas, it was too late... unless I wanted a hot pink or purple tree