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For moving snow, head to the farm/ranch supply shop and pick up a grain shovel.
For durability/compactness, an avalanche shovel. >pic related
The folding shovels from the army/navy surplus are nice to have. Cheap and tough enough.
Biggest thing is to make sure your vehicle's in decent condition. Check your lug nuts, tire pressures, fuel/coolant/oil/trans/washer fluids. If there's any mechanical issues, have those addressed. A booster pack or 2nd battery is nice to have, make sure that's charged. Jumper cables (amazes me how many people don't have those). A basic tool kit with things like wrenches/sockets/screwdrivers, fuses, spare lug nuts, serp belt, multimeter, etc. Some basic knowledge of the vehicle... how to change a battery, jump-start, change a tire, where the fuses are, etc. A code reader's a good investment if you're somewhat mechanically inclined. That can point you right to a problem, if you've got a decent toolkit you may be able to fix it (saved my ass a month or two ago).
Then the basic stuff if you have to camp out overnight. Blankets, firestarters, communication, a few water bottles, etc. Don't overthink it.
And slow the fuck down in shitty conditions.