We absolutely recommend Peters Apartment. The check-in was really flexible, so that we could get into the flat early. Inside it was really cozy and the cooking facilities were fantastic. We especially loved that we could use his bikes go get around the city or go to the beach. In the neighborhood of Valby you have supermarkets and great bakery's. For restaurants you may have to travel a bit further e. g. to Frederiksberg. Also you can catch a train in Valby and travel just three stops to the central station.