If you're just planning taking a short trip you don't have to worry. Chains/snow tires are your top concern. I definitely saw a few changes as my car experienced it's first real snowy winter after being a SoCal car for it's entire life but that was prolonged, over several months.
1999 Techno Violet Metallic M3
Bilstein | Kosei K1 Racing | Toyo Proxes R888 | BMW CCA #430881