Janet's advice is spot-on - in Australia we regularly get various disasters (hurricanes, only we call them cyclones; bushfires; floods; etc) and the broadcast advice is similar - keep your important papers in a plastic box with a sealed lid, so you can grab it when you need it. Keep important phone numbers handy by the phone (emergency services, friends/family contacts) and keep a radio on listening for news updates. A battery powered radio (with spare batteries) and/or wind-up like Sara suggested. Spare non-perishable food supplies, spare clothes packed (preferably in sealed plastic bags) and spare water, in bottles. Even if the water isn't cut off, you can lose the water quality.
Janet's suggestion of filling the bathtub - it's a good idea. DO NOT put bubble bath in it!
We filled the bathtub during the 1994 fires, just before the water supply failed. It was over a week before we had running water again. The bathtub was our only drinking water. We would go to the beach to swim, then when we got home we would get a bucketful of water from the tub and use it to sponge off the salt and the sand. Now we have a rainwater tank, we use that to rinse ourselves off after the beach. But we still would need drinking water.
Heat-waves are another time when you need to take precautions. You need to store bottle water again, because what comes out of the tap may be too hot to drink. About 18 months ago we had a really bad heatwave and I measured the tap water at over 60C, AFTER I'd been running the tap for several minutes.
A suggestion, especially since there is warm weather around - freeze some of the water in drink bottles. Don't over-fill them. Then, if the power goes out, you can use these drink bottles to chill your perishables for as long as possible. If you lose power leave your freezer and fridge closed for as long as possible, to keep the cold in.
Keep safe, keep as dry as possible. Thinking of you, hope you are safe. By now you probably are.
Marg