I loved staying at Anne Marie's place, and she was a great host. I enjoyed our many chats, and the movie night she invited me to. On my next trip to Copenhagen, I'll definitely inquire about staying there again before investigating other options.
For those who are light sleepers, the accommodations were very quiet. I rarely heard noise coming in from outside the room in which I was staying. Just about any noise wakes me up, and I was able to sleep through the night on a regular basis.
For those who REALLY want to rent a car (the Danish public transit is amazing), Anne Marie's place is a GREAT option. You will need to park outside, as there is no covered parking. Parking is plentiful, free, and I was never concerned about anyone breaking into the car.
For those looking for a safe neighborhood, this area felt extremely safe to me. There is little to no foot traffic, or weird people hanging around. The only people I saw were residents coming & going, a few people who work nearby, and bicyclers passing through. I'd have no issues with allowing children of appropriate age to roam freely in the neighborhood.