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 BMW M3
2005 Audi B6 S4 quattro 6MT
2004 BMW 330i
1986 BMW 535i