If you're looking for winter production and cold hardiness I would recommend ISA Browns. They're a hybrid, not an old fashioned breed, but they are egg laying machines and tolerate cold well. And just as a note on the winter production, with the exception of extreme cold that stresses the system and uses the bird's energy reserves, temperature is not what dictates egg laying. Length of daylight is. A breed who is known not to be as sensitive to daylight hours as others is your best bet, like the ISA. Getting them out and about, will also help this matter as the more daylight they're exposed to the better.
As for the snow issue, the chickens will gladly accept being as pampered as you make them, but do not need much of anything as long as you choose breeds that suit your climate and setup. Personally, ours free range year round. Some are reluctant to head out the first time they see snow, but change their minds quickly when they see everyone else doing it and realize the food is still outside and is going to remain there. The only time I move snow for the chickens is when their feeders are buried and then I brush only enough snow out of the way so that they can find them. Ours can routinely be found out and about in feet, not inches, of snow and doing just fine.