My chickens love a sunny, snow covered day. They will poke around the edge of buildings and fencelines where the snow is easily scratched up and try to find a stray meal or so. I usually take advantage of days like that to throw some BOSS into their bedding so they will have something to "forage" and I will get their deep litter turned, fluffed and aerated.
X2.
I live in Maine, so I picked 4 breeds known for hardiness & have not been disappointed.
When snow is REALLY deep I just toss a little hay along my walkway & some kitchen scraps. They don't roam as far, but they stay active if I leave the door open for them to decide on their own.
They are nowhere near as adventurous as my ducks. They were out in sleet & slush & freezing rain yesterday, happily foraging all over the yard.