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This certainly isn't as frugal as possible, but simply picking up some bottled water/batteries at a place like Sam's Club before everybody else is doing it will certainly help. (I think 48 1 L bottles is something like $5 . . .you could certainly buy the gallons cheaper than that.)

Also make sure you car never has less than 1/2 (3/4?) of a tank of gas. Keep your emergency kit ready so you don't forget something simple and have to pay a lot for it. (Medicine, CASH, change of clothes, baby suppplies if needed, can opener, disposable plates/utensils, toiletries, flashlight, sleeping bags, etc. . . .stuff you probably have already, but might forget if you had to leave quickly.)

This may sound weird, but find a place to go. IE, arrange with friend/relative X to go to his/her house. Have a key, phone numbers, directions, etc. in your emergency kit. (Maybe have a back-up friend just in case?)