i myself would just get out, Get my 120 Liter millitary backpack from the attic and pack it with the following.
Besides the obvious personal documents like driver's licenses, passport. etc.
1. replacement clothes and at least 3 pairs of socks and underpants.
2. rainclothing and snugpack jacket, scarf, gloves, wool hat.
3. sleepingbag with rainproof goretex shell.
4.Peak One burner, it takes pretty much any liquid fuel. i got a foldable aluminium cup that covers it.
4B. SPORK!

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5. Leatherman, do not go anywhere without that either!.
5B. Petzl Headlight, you would not be the first stumbling in the dark in some god-forsaken forest with no light from a nearby city or the moon trying to get your sleeping arrangement in order. Try to get one in red, in night-time conditions it does not take's a toll on your night-eye adaptation as regular light would. also it is not as visible as regular light is to observers.
6. Take out my PC's SSD, put it in an watertight sealed bag and tuck it inside the sleepingbag.
7. Rainproof tarp, some elastic spinners, rope and my pocket hammock.
8. solar charger, Phone, Garmin, Battery bank and radiation meter/geiger counter. small travel wind-up/battery FM radio.
9. the millitary gas mask with the war-filter still placed i received for an deployment...but never bothered to return.
10. 3 Litre Camelbag with water, also hopefully additional bottles of water if space and the situation permits it.
11. i considered for a while a portable RT radio, but my experience with portable FM RT-radio's is that they got rather big limitations. at least so much that i rather save the power, weight and hassle of them for other more rewarding gear. Also when there is panic with an disaster with the airwaves full of traffic your limited signal will most likely not get picked up. there are better ways to draw attention for help.
12. smaller survival gear like a pio-shovel, magnesium block, compass, chem-lights. and especially a few dry rolls of toilet paper and vitamin tablets.
13. food, Packs of noodle soup are excellent. they (almost) do not expire, are lightweight and high in colories and require just a bit of water and a cooker. throw a few packs of bisquits in there and you also have something to eat without the need to cook. Altough it is where the vitamin pills are needed to compensate for mineral/vitamin loss.
it would really depend on the type of disaster what my goals would be. I feel lucky i live alone for that matter, no pets, fammily or anything else to care about. i just can grab my stuff without looking back. I just hope it never has to happen.