Flashlight with extra batteries (preferably one for each individual)
Portable, battery-operated radio with extra batteries
Purchase and use "self powered radios" and "self powered flashlights". Batteries will be hard to find, if you can find them. Some models will charge cell phones, but the cell phone towers may be damaged, even destroyed.
Purchase and use "glow sticks". These are safer than candles, since you will be dealing with ruptured gas lines, flammable, explosive gas.
First aid kit and manual
Emergency food and water (some sources say you should have up to 2 weeks worth of extra food on hand in case rescue workers cannot reach your location)
Nonelectric can opener
Essential medicines
Cash and credit cards
Sturdy shoes for each family member.