There seems to be no end to the different kinds of trouble that your children can get into. One of the scarier things you can experience is having a heavy piece of furniture tip over on your child. It is however a danger that can be minimized fairly easily with a properly installed bracket. You have probably seen anti-tipping brackets included with furniture you purchase, but often these go uninstalled.
If you have young children at home, you should take the time to install these brackets, and do it properly. After all, tipping furniture have hurt and even killed children in the past, so it is definitely worth your time.
It is important that you try to get the bracket attached to either a solid wooden stud in the wall. If that is not possible, install a proper anchor that can handle the weight that you would expect from the piece of furniture tipping.