I can highly recommend staying at Signe's apartment. The apartment it is quite spacious and perfect for 2 a couple or 3 people.
It has a master bedroom with a double bed and another bedroom with a single bed. There is also a living room with a dining table and a couch plus TV. Also the bathroom is really big and Signe has some really nice towels :)
Signe really made that we feel at home the apartment is lovely decorated and the kitchen also has everything you need. She also provided us with coffee, tea bags and cold water in the fridge. The location is super close to Valby train station and also has multiple bus stopps around the corner as well, so you are well connected and it is just two train stopps to the city.