If you have very young children, make sure that all outlets that are close to the ground have plastic childproof tabs in them.
Keep particularly vigilant about the state of your wires: If there are any frayed electrical cords, have them replaced by a professional immediately.
If there are any cords that don't plug firmly into the wall (that droop and expose the metal contacts), the outlet may very well require replacement.
Don't run extension cords across doorways, under carpets, or near heaters.
Never allow children in a room that has a cracked or missing faceplate on an electrical outlet.
This also applies for cracked or broken outlets themselves—if the plastic on a socket is compromised, it becomes a generally dangerous fire hazard, and extremely dangerous to children.