I'd definitely recommend considering Claire's apartment for your trip to Copenhagen. The flat is a nice size, with a good sized bedroom and an open plan kitchen/dining/sitting area. An added bonus is the balcony which overlooks the apartment's communal area.
The area is quite trendy, with a great bar (Brus) two minutes walk away and several nice restaurants. The location is well connected by the bus.
And finally, Claire was super helpful in the run up to our trip. No questions were too trivial and she always responded swiftly. We didn't get to meet Claire on arrival but she arranged the key pick up, which went smoothly. A far more enjoyable experience than a hotel!