In London here, got some snow yesterday. Cars were at a standstill, but my studded tyres kept me going

I even put my foot down and it slid, but the bike held firm. Best investment I have made for a long time, had to get them from Germany but well worth it. Schwalbe Marathon Winters 35C. It is very cold on my feet though, for a balaclava I have an Oxford Chillout balaclava which is for motorcyclists - windproof etc. and it keeps me nice and warm. But my feet are freezing thanks to my cleats. Going to try some of those Toasty Feet insoles.
Either way, I'd rather cycle and be a little cold, than get on a train which takes hours / doesn't show up. Or get in a car and spend hours in a traffic jam.
I still maintain that a bike is really the only all year round practical city transport
Safe riding
Daven