I am still working out the details of commuting in winter regularly, so currently I take the bus at least twice per day.
Public transportation here is quite good. I pay 65 euros per month for an all-inclusive travelcard and I could get the cost down to less than 2 euros per day if I bought longer periods. None of our buses have bike racks, but you may be able to talk your bike inside during off-peak hours, as every bus has space for at least 2 child trolleys.
The bus is also the fastest form of transportation for me. My commute takes about 30 mins one way with the bus, 30-40 minutes on the bike, and maybe 1 hour with a car (during peak hours). And that is excluding the time I would spend trying to find a parking space.
--J