I would recommend stay at Pernille's place for what seems to be a pretty typical Danish experience. We were not disappointed.
Pernille was great with communication and quick to respond and help resolve our issue when we accidentally locked ourselves out.
Overall, we were pleased with the apartment and the location. We rented electric bikes and it was easy to get into town as well as even ride to the airport, which took just under and hour. There is also a grocery store just outside of the building so we were able to buy affordable food and cook at home for every meal. This made visiting the city fun and affordable.
There was pretty much everything needed for a stay of four guests, with a few exceptions; there were only 2 coffee mugs, two wine glasses and no door on the little room with the double bed. We also would have liked to have had a toaster for bread and fans, as it was hot on the top floor. We found that having earplugs and an eye mask helped with the occasional street noise from the pub below and sun light of the summer.
Enjoy Copenhagen! It's a great city.