Since you will be taking your bag to a shelter and not to the Yukon to live off the land, keep that in mind.
Take your battery pack and cord for your phone, maybe a thin cheap fleece sleeping bag and a fleece throw, a flashlight and headlamp for reading and a couple of books or cards or magnetic chess board, whatever suits you.
You will be fed, but take some snacks and something to eat anyway for the munchies and in case there are supply problems, socks, underwear and some hand washable clothes, ear plugs and a sleep mask, whatever is the modern version of a transistor radio and music.
Chapstick and Rolaids and your vitamins or medicine, the hotel stuff of soap and toothpaste and for shaving, a comb, a small towel, toilet paper, personal cleaning wipes, extra reading glasses, a drinking cup and spoon, back up shoes, sugar and salt if that suits you, a multi-tool.
Think about hanging around and being bored, being tired, wanting a snack, wanting to call people, wanting to sleep, wanting to cleanup and get fresh.
Good suggestions.
lots of great suggestions, thanks!
one thing I would add, photos of exterior, front and back, and a walk-thru of your home, including any artwork or special items, high-end appliances, musical instruments, etc. Transferred to a memory stick and taped to the back of your home insurance statement.