Mette and her family welcome us to their house for one weekend. The house is amaizing and the area really near to the center. There is a bike rental shop just 2min from there. That's perfect to enjoy the city ! They also know Copenhagen and can advice you for visit, restaurants, ...
We would have like to spend more time talking to them but two days are short !
Go at Mette's place, you will not regret it !