We have been hosted at Mrs. Solveig's house for a week.
This is an amazing huge house full of light with very comfortable space for 4 or more people. With a beautiful communal garden you can have a breakfast, pic nic or dinner. And of course you can park your bike safely.
It has everything that is outlined and even more. Particularly it has a huge library with very interesting books on Danish architecture and design.
What we liked most of all was that you felt like living as a native in an young people's area (Vesterbro) not so touristic, with plenty of restaurants, bars, and small shopping centers.
Even the well-known Tivoli, a paradise for children, is a 10 minute walk away.
The house is also 100 meters from Copenhagen Central Station and 400 meters from the central bus stop "Bernstorffsgade",
so, you can easily travel to the city by train or bus.
To sum up, I strongly recommend it to a couple with children of all ages, or for a group of 4 people.