I'm staying in Copenhagen for 4 days in July and would like to settle into an Airbnb with a washer, rather than a hotel. I've never been there and am wondering what some good neighbourhoods would be. Ideally, not too far from the centre so we're not spending a lot of time commuting. Easy biking distance is also a bonus. By way of comparison, when I was in London last summer, we stayed in Hackney - 2 tubes and an overground away from the centre. Being on an overground line made it too far for us. I know Copenhagen is a smaller city so already that's a plus.
Thanks for any suggestions.
P.S. I'm also looking for a similar situation for a 3 day stay in Stockholm.