In San Francisco, we live with earthquakes. The memories of past quakes, and the knowledge of future ones. That means having enough basic supplies, first aid and water for 72 hours - for everyone in the household including pets. This type of disaster preparedness is in addition to having an exit strategy from the home in case of fire, something probably more likely to happen than an earthquake.
In other parts of the country, such as New Orleans, people prepare for hurricane season and having an evacuation plan. Wherever you live, and especially if you have both children and pets, planning ahead is key.