We had a great stay in Mia’s lovely Apartment in KBH V for 2 weeks. As we had 2 small babies with us the apartment was perfect as we could borrow many things from Mia + the location is next to (great view as well from the apartment) of Copenhagen channel making it ideal place to take strolls with the babies towards city center, Islands Brygge, Sluseholmen and Vesterbro. In addition furniture and equipment was of very high quality = nice bed, couch, coffee machine, dining table etc.
It is important to note that you are renting an actual home and not service style type of apartment that only have AirBnB visitors.
The plus of this is that you have a lot more equipment e.g. in the kitchen, toys for kids etc. however on the other hand you may not have as much space for your own things like clothes (this was not an issue for us, but could be for others).
In addition it is next to shopping center Fisketorvet which has grocery stores, restaurant, fast food, cinema etc. Train station 5 - 10 min walk away and soon in the future metro next door.
Highly recommend for people who does not need to stay in center of Copenhagen