Over the years I've traveled to storm sites with all manner of gear and stuff that I think I'll want or need while I'm away from home.
The time I'm on cat is devoted to work so these days, I keep it as simple as possible.
Just the basics:
one or two personal items
What else could I possibly need? There's a grocery store on every corner so I don't bring coolers full of food. I usually stay in hotels that have kitchenettes (unlike the Motel 6 in the video) so at the most, I'll bring a decent cutting board and a chef's knife.
Oh, and I bring my favorite pillow from home. :)
Now, if you've been deployed to a major catastrophe on the scale of Hurricane Katrina or a Socal earthquake and there's a good possibility that food, fuel, and water will be scarce, I would recommend bringing along the following:
jerry cans of fuel - lockable so they don't sprout legs
jerry cans of water - little plastic water bottles are fine, until you have to clean up 10,000 crinkly empty bottles from your truck. I would opt instead to get a reusable Nalgene bottle and also carry a Rubbermaid water cooler in your vehicle. You CAN bring along a few cases of water bottles from Walmart and give them out to people you see in need.
a lot of non-perishable easy to eat food - in case local restaurants aren't open/destroyed and there's no - or intermittent - power at the hotel so the kitchen isn't always usable.
Generally, though, if you drive far enough away from the area of destruction you can find what you need. But everybody else will be there buying stuff as well.
And as always, I bring along at least two to three weeks worth of socks, undies, and tee shirts. Laundry might be a challenge and even if it's not a hurricane Katrina, I'm usually so busy the first couple of weeks that laundry is the last thing on my mind.