We just spent six days at Mikkel's really cool apartment and can recommend it to any Kopenhagen traveller. :)
With the Metro M2 you can reach it straight from the airport in about 30 mins (36 Kronas / about 5 Euro / 3 Zones), which couldn't be more practical. Right outside the door stops a bus (2A) which takes you to any place in the city center (24 Kronas / 3,20 Euro / 2 Zones). There are loads of cafes and restaurants with coparatively fair prices (Kopenhagen standard) as well as several supermarkets right outside your door.
The design is very modern and minimalistic and you can find all sorts of practical items - a dishwasher, a good wifi, a PS4 for example. The bed is really soft and we slept so deeply :) Also, it has huge windows and a really nice balcony. However, bring your own hairdryer ;) Contrary to what is says in the ad, the flat has smoke detectors.
Mikkel could have been a tiny bit more attentative as a host, but it is such a safe, hyggelig and convenient space that we would come again any time :)