I always thought I was crazy washing my car in the winter with snow all around me but I have some suggestions.
I hook the hose up to an outside faucet (regular temp) and usually squirt the car from top to bottom and spend extra time in the wheel wells to remove any road salt or grime. Then I use a warm bucket of water with a hand mit for washing but use those black plastic gloves you see in those scifi movies to keep my hands from touching the water and they stay a little warmer. I wear a quilted **** rather than a coat to make sure I don't scratch the car.
After it is washed I drive into the garge and there I have my space heater on and finish the job by drying. Make sure you do not leave the hand brake on because you could have a car that makes a loud pop when you back up. As an aside, one time I used my leaf blower to dry the car but it was more trouble than it was worth. Hope this helps.
