This apartment is comfortable, spacious, modern and clean!
Though a little further out of the centre of the city and the main transport links than we had thought, Mathias offers bikes as part of the rental package which is a great bonus. To give you a guide the apartment is roughly 40 mins from the airport (via train, bus and walk) from then on during your trip it is a 10 minute walk to the bus stop and a further 10/15 minutes on the bus to the city centre. I would recommend using the public transport as little as possible because the bikes allow you to see much more of the city, are free to use and give you the real Danish experience.
We found the Netto near to the apartment very useful and soon found some nice bars not to far away (I would strongly recommend temple bar on the main road toward the city centre).
The only slight drawback to the apartment is the tiny bathroom where the sink it located in the shower due to space restrictions but nothing you can't cope with for a few nights!
There is no cleaning fee charged for the apartment so just need to allow a little bit of time on the last day for cleaning and stripping beds etc.
All in all highly recommended and thoroughly enjoyable!