Just north of Copenhagen is the Frilandsmuseets, or Danish Open Air Museum. It is one of the largest open air museum in the world with 50 buildings from Denmark, Sweden, Schleswig and the Faroe Islands. It’s easy to get to via the bus system.
You can spend a whole day at the museum, there are a myriad of different buildings, some of which contain workshops like shoe makers, and woodworkers. There are also sheep, ponies, cattle, and an abundance of farm fowl.