I'm not sure whats behind your driveway but you should remove snow from the whole driveway for emergancy services and oil delivery as mentioned before. Here I have a fairly large section of lawn at the end and on one side of the driveway ( garage on other side). We plow all the way across the back lawn to the trees and up onto a portion of the side lawn making the plowed area as wide as possible. As the winter goes on and you get more snow you want to start with a bigger area ( as back as far as possible and as wide as possible) because the plowed snow will freeze and be piled up, leaving less room to pile snow every following storm. There have been winters we have had to use a tractor with a bucket loader to move the plowed snow piles to make room for more snow. Sorry if I didn't explain it well but my suggestion would be to yes clean the whole driveway as far and wide as you can. Plow rates vary by area but check the town FB page lots of people post plowing on there. In this area people w/o a garage move car into road, just leave hazard lights on and park close to side. It shouldn't take long to plow and you can pull back in once its done.