Bergen is known as the city among the mountains and of course has plenty of great hiking terrain. Many forests and mountains close to the city are well adapted for families with children, joggers and also for the slightly less...
Bjørgvin, the original name for Bergen, means "the green meadow between the mountains", and you won't have to go far...
Winter in Western Norway is not like the winter in the rest of Norway. The words "Bergen winter" are enough...