Here are things you need to have on hand.

Water - at least 1 gallon daily per person for 3 to 7 days

Food - at least enough for 3 to 7 days

non-perishable packaged or canned food / juices
foods for infants or the elderly
snack foods
non-electric can opener
cooking tools / fuel
paper plates / plastic utensils
Blankets / Pillows, etc.

Clothing - seasonal / rain gear/ sturdy shoes

First Aid Kit / Medicines / Prescription Drugs

Special Items - for babies and the elderly

Toiletries - hygiene items

Moisture wipes

Flashlight / Batteries

Radio - Battery operated and NOAA weather radio

Cash - Banks and ATMs may not be open or available for extended periods.

Keys

Toys, Books and Games

Important documents - in a waterproof container

insurance, medical records, bank account numbers, Social Security card, etc.
document all valuables with videotape if possible
Tools - keep a set with you during the storm

Vehicle fuel tanks filled

Pet care items

proper identification / immunization records
ample supply of food and water
a carrier or cage
medications
muzzle and leash