Change of underwear and a roll of aluminum foil.
Rural destination: Go with Tank Mechanic's idea.
Urban, warmer weather, lasts about a week:
Get a harmless-looking bag, like a superb quality school backpack. No rollers, and not duffel-style... you might need to carry it for a few days. Mil-surp, though it usually fits the bill, might send some excitable people into a tiff about the appearance.
Get/make a spare wallet with enough
cash (actual amount depends on your personal preferance/means), with copies of your insurance, driver's license, concealed carry permit, and any other necessary items (including family pictures, contact info, etc.). Have a decent amount of change in a thick leather pouch that won't make much noise if you need to be quiet. Also toss in a set of spare keys for the house, office, car, whatever.
A change of clothes, specifically well-made ones that aren't going to rip or do anything unexpectedly. Once again, the more innocuous, the better. Nothing brightly colored, nothing flashy, but BDUs are out of the question. Put some good socks in there, too. An extra pair couldn't hurt.
A couple bottles of water, stored in outside pockets, can go a long way. They can be refilled at drinking fountains or other clean sources, and are strong enough to last a couple of weeks if need be. Energy bars, as a backup, and multivitamins can get you by for a little while, but buy and eat real food with the cash whenever possible. I tried eating nothing but Clif bars for a week, and I wanted to die. An MRE is not a bad idea either. If you use tobacco in any form, keep about 4-5 day's worth.
A half-roll of toilet paper and a Wal-Mart bag inside the tube can keep you clean for a few days, if during that time toilet paper or proper facilities can't be used or found. Eliminates another little-thought-about, but nasty problem that can be avoided.
A swiss army knife/Leatherman/Gerber tool, extra set of glasses (if you wear them), pen and small pad (even Post-It notes), pay-as-you-go spare cell phone (charged and activated, with enough minutes) with charger, and a good, long book. These are all invaluable, and I use most of these every day even without having to bug out. They're things that don't take up much space, don't weigh a lot, but if you need them, you need them
badly and
immediately. Best to have and not need...
Finally, if you carry, a spare rig including gun, ammo and magazines (twice what you'd normally need), holster, etc. Cleaning kit not necessary.
Make sure you can wear it 20 hours a day for five days, completely concealed (including not printing), that you can wear it with your spare set of clothes, and that you can draw easily with your backpack on. This is not the time to advertise you've got a gun. If you're relocated to someplace public, you might not have the chance to take it off unless you're in the bathroom. If it's off your body, it makes it harder to draw and easier to steal while you sleep. Plan on having it on you for a solid week. If you truly need a rifle, there will be plenty lying on the ground.
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A friend saw this list, once...
Him (jokingly) "Looks like if my apartment building caught on fire and I was asleep naked, I'd be okay if this is all I grabbed..."
Me: "I know. That's why I wrote it."
Zombies are not going to attack. Foreign armies, unless they ally themselves with Canada and/or Mexico, do not have the capability to invade. Acts of God in the form of inclement weather, building fires, and terrorist attacks/scares are far more likely. That's what this list is for... if you've got to be gone for a week, possibly on foot, and have to leave everything else behind.