The building is going thru external renovation.. so if booking in Oct 2019 check with Morten that there is no disturbance during your stay. The apartment is a 15 min walk from the station (20 mins if luggage in tow), or 5 mins by bus from the train station. This is not located in the “tourist” part of Copenhagen, but there are a few nice a cafe/restaurants nearby. We prefer to eat with the locals so it suited us. Morten is a good host who will welcome you and responds quickly to any queries.
The apartment is quite good, but it did lack some standard bathroom items like soap, bath mat and hand towels. Not sure if this was an oversight or not. Nonetheless, we (4 adults) did enjoy our stay there.