Preparedness depends on where you are.
In southern Mississippi, freezing to death is not a problem. Even if it gets cold, it never stays cold and so quilts and blankets take care of that problem.
But, Coleman stoves are a necessity regardless of where you are. Dual-fuel stoves are ideal as they can use any kind of fuel. But propane stoves are not a bad idea and are generally simpler to use. I have both and as long as you have a few bottles of propane (or even a single large tank such as often used on barbeque stoves (me, I use charcoal)), you're fine. Remember, this is not end of the world stuff, but short term survival.
Canned food is ideal. Vegetables serve not only to give calories but also fluids. A big jar of peanut butter is extremely valuable. Indeed, were I to be told I was going to be dropped on a desert isle for a few years and could take a flat of only one food, I would choose peanut butter because it is high calorie, has fat and protein and sugar. It is nearly the perfect survival food. Poptarts are also great to have as they are light, high in calories, are fortified with nutrients, and store well (though not as well as peanut butter).
Flashlights and lanterns are great to have. Personally, I like kerosene lanterns but these are generally not as bright as white gas. They are more stable and less complicated, though. Hurricane lamps burning lamp oil are also great (but rather dim).
Baby wipes are nice to clean up if water is limited. Cleanliness is important because it keeps illness away and also makes you feel better (yes, it really does).
Water in any form is necessary. A bathtub filled before water goes out is a smart idea. Milk-jugs, old 2-liter bottles, any kind of drink container are great for drinking water. If you lose power and water supply, remember fluids come from many places - coke, beer, canned string beans, milk, orange juice, ice cubes, etc. How many fools went thirsty in New Orleans when they could have filled a walmart bag full of beans and peas from their cubbard?
After Katrina, we had sewer but no water. We had a neighbor with a pool so we had plenty of flushing water. We had water to drink and as the freezer thawed, I fired up the grill. Our gas remained running, so my wife fried stuff (we have a gas stove) while I grilled stuff, until our entire freezer was empty. I ate red fish, steak, chicken, you name it. Indeed, for the first 3 days after Katrina (we were without power for 13 days), I ate nothing but meat. I got tired of steak and really longed to tear open a package of poptarts!
Davis