Anders is very kind, and we appreciated his flexibility with check-in and check-out. The apartment is very close to the metro (literally a 1-2 minute walk depending on how long you have to wait to cross the street). The location is safe. The stairs - well, it's five flights. Pack light. :) If you do need to do laundry, make sure to alert him. He was so kind to provide us with soap (have a translator handy if you don't speak Danish - the machine is a bit confusing). There is no door separating the living room from the dining room (which allows the light from the dining room windows in - which can be tricky if you don't want to wake up as early as the sun and you are on the fold-out couch (of if you have children in that room)). The kitchen is full service - great fridge/stove & over and everything you need to make a meal if that's what you plan to do.
To get downtown via metro, it will take you 10-15 minutes depending on where you want to go. Walking to the outskirts of the downtown area will take about 25-30 minutes. There are plenty of places to eat around the apartment - but there's not much going on in the evening. The airport is so convenient to this place - I think it's 7 stops on the only metro line leaving the airport. Super convenient.
Overall, our stay at Anders' place couldn't have been better. We recommend you stay there.