One of my favorite places in Copenhagen is Søndermarken a park in Frederiksberg. You can call it a dog park because you can’t avoid meeting a dog on your tour through the park. The park is also a quite big one so it’s possible to find your own little spot and just enjoy the silence. I love to just take a walk and enjoy the many beautiful trees. You will also found a museum (Cisternerne), lots of grass for your picnic tour, some fitness areas, and you will be able to spot a part of the ZOO for free from the park!