Woke up to -48C today. These temps happen to us every year (to varying degrees) so I thought I'd share some tips on how I survive this:
Proper winter gear is important. Like actual winter boots, not just runners. If you don't have or can't get those, the thickest, warmest boots you have. Not shoes. Something with a thick sole and grip made of anything windproof (leather works). Add shoe liners if you have them (there are warming ones), the idea is to keep a thick layer between your feet and the snow.
Good thick socks. Hat, mitts, scarf. Wool if possible. A windproof outer layer with no exposed skin. This is the weather balaclavas were invented for. Make sure your head coverings cover your ears.
Get fully dressed indoors before you go outside. Wrap the scarf around your neck and tuck it in first, then put the coat on. Spend a little while indoors fully dressed in your winter gear to get some body heat built up inside and and it will make it more tolerable when you do go out. If you're taking transit, windproof clothing is essential, as is wearing layers you can remove or add on as needed. A bag may be necessary for storing gear.
Even with mitts/gloves on your hands will freeze while walking. Pockets help, but body heat helps more - cross your arms in front of you and lay your hands on the opposite forearm inside the sleeves if you can. If you have to use a mobility device wear as much on your hands as you can and try and pull sleeves down over your exposed hand(s).
Insulated coffee mugs and thermoses are also great, fill with your favourite hot drink and sip when needed. Really helps when waiting at a bus stop in the wind.
Do NOT go out with wet hair or clothes. Everything should be bone-dry before you go outside. Ice close to your body is bad. Also why you should wear sweat-wicking fabrics as your base layer.
Layers are hard to define without the specifics of someone's wardrobe, but in this extreme cold, don't wear only one layer. Tights are great under jeans, pants, or a long skirt. Layer your shirts too, this is a great time to wear a tank top as a base layer. Synthetic fabrics are more likely to be windproof but don't absorb sweat, natural fabrics wick moisture better but sometimes the breathability also lets the cold air in. Experiment with your wardrobe until you find the right layering.
Don't go out unless you have to. Keep pets inside. Don't fuck around. Frostbite is no joke. You might look like a dork but you'll regret losing bits to frostbite more than you'll regret dressing a bit frumpy.