We loved Copenhagen, and a large part of this was due to Pernille and Kim making us feel very welcome in their home. They gave us some great recommendations for our stay and we're always on hand to answer any of our questions.
The rooms we stayed in were comfortable, clean and spacious, right up the road from the beach. A 10 minute walk also gets you to the Metro heading to the city centre or the airport, but we used rental bikes (available to pick up at the Metro station) to explore he city properly.
All in all, highly recommended.