if you want a guided bike or walking tour in Copenhagen, there is two specific operators that we suggest to you. They are the best, and dont hire in foreign students who are like parrots, and just repeat what they have learned from their master.
www.weirdwalks.dk For walking tours in the center.
www.cocutours.dk for bike or bus tours.
Both operators are well known in the city, and can give good suggestions where to go.