Ask a local to show you some of their winter clothes or to take you winter clothes shopping. Your warmest clothes right now are not warm enough. Capacitive touch gloves will let you use your phone.
If you have a car, get a snow brush and ice scraper (for windshield and windows). There is winter windshield fluid, get and use it when it's snowing. Get winter tires, it makes a difference. Insurance companies give a discount for having them. If there's snow on the road, go slower than you think you should, and start braking at least twice as early as when it's dry. Accelerate and brake slowly. If your car is sliding on ice, resist the temptation to keep pressing your brakes, try your best to steer the slide instead.
If your car gets stuck in snow and you need to run it to keep it warm, make sure the tail pipe is well clear of snow (carbon monoxide). Keep an emergency blanket, hat, gloves in the car in case of breakdown. If the wheels are stuck in a snowbank (just spinning in place), some sand or non-clumping cat litter can give you traction. You can sacrifice your floor mats for this, too.
If you walk instead of drive, consider crampons for your boots for if it gets icy out.
There's different textures and density to snow. Wet snow is dense and heavy, dry snow is light and fluffy. Shoveling can be very different depending on the snow. Lift/push with your legs, now with your arms or back. Take breaks if needed.
If you wear glasses, they will fog up when you go from outside to inside. Sorry. You could get anti-fog stuff used for snow and ski goggles, but most normal people just wait for them to warm up.
A scarf makes a big difference.
Wool can keep you warm even when wet.
Be prepared for power outages especially if the area does not bury power lines. Heavy snow, or worse, ice, can make tree branches heavy and fall and snap power lines. If this happens, be mindful of carbon monoxide. People, families have died trying to keep warm by running generators, stoves, etc indoors without proper ventilation.
Snow reflects sunlight; wear sunglasses if the sun is out and there's snow on the ground.
Go outside and listen when the snow is falling. It makes everything quieter and it's really ice to hear.
Snow that's warmed slightly then frozen again is crunchy and fun to walk on.
If you're north enough, the sunlight will not be sufficient for creating vitamin D. (Plus you'll probably be indoors more, less daylight in general.) Consider a supplement.
Consider a SAD light if lack of daylight affects your moods.
I enjoyed this because it took me a second to think what a not-dried prune is: a plum.