We had an awesome stay at Regitze's apartment! The apartment is just a few minutes north of the city center by bike (which you should use when in copenhagen). It's a nice flat and got everything we needed, including a comfy bed and big sleeping couch.
Regitze was the best host - providing us with great recommendations and making sure we had everything we needed.
Would definitely recommend, we'll for sure stay here again if we return to Copenhagen.