We had a great time during gour week-long stay. The flat was very well suited for ourselves and 6 children (it could, at a pinch, be shared by two couples as there is a second double bed). The kitchen and dining area are well equiped for cooking for a family and there is everything (games, communal playground, wifi, etc ) to keep children satisfied -not that we really stayed around all that much-.
A special mention for our hosts, who had many kind attentions for us and were very helpful.
The area always felt very safe but is not what you would call "vibrant" : expect to walk a few minutes to find a decent bakery and supermarkets, or a cafe terrace. But from the lcal railway station there is access to everywhere in Copenhagen either by fast bus or by the suburban railway (the F line, which circles around the city and connects to many other train or metro lines).
All told, a highly recommended stay.