Have a small emergency kit ready! Candles, flashlights, extra blankets, maybe a battery powered heating pad, some bottled water and a stash of food that doesn't need refrigeration or cooking (crackers, jerky, trail mix, canned meat, etc). An external battery for your phone, some arts and crafts projects, a jigsaw puzzle and some card games can help you keep your sanity if you get snowed in, lose internet or lose power.

Also, sealing up drafty windows is so helpful. You can get the cellophane window insulator kits for cheap, but they can be kind of fiddly to apply, and might mess up the paint when you take them down. You could also get thicker curtains for winter, or if you live in an apartment and have a budget a couple of command hooks and a cheap lap blanket works OK, too.