The first and most important part is to make sure you have plenty of food and water. Pack food that does not require special preparation and that will last a long time. You have no idea when you are going to need this kit, so make sure the food does not spoil in the meantime. Canned food, and canned meals are a good idea. MRE’s are even better. The military specifically designs food that can be stored for long periods of time that does not require any kind of cooking.The full explanation can be found at http://www.allhome-improve.com/2011/07/28/Solar-Power-Equipment/ Some meals may require water, so make sure you have enough for this as well.
The second item in your kit should be some kind of portable radio that either runs on batteries or is solar powered. In many circumstances a solar powered radio is better because it will run long after the batteries have run out. A radio will help you keep up with news about the disaster.
Flashlights, both solar powered and battery operated are also important. Candles and matches or a lighter can also be useful. Keeping warm may be difficult so pack blankets and sleeping bags. If possible an extra change of clothes and some toiletries may also be useful.