Kenny and his family have a lovely house in a very quiet area, about a 10-minute walk from Sjaelor station. The house is very well equipped and several good food shops and cafes are within a 10-minute walk. It takes about 30 minutes from the house to the centre of Copenhagen by train. There is a lovely, safe, sandy beach a 10-minute walk from the house. We did not get the Copenhagen card as we were staying for over a week and the cost of the card did not benefit us. The cost of the train to the centre is 24 Dkr single per adult. The house is great for kids with plenty of open spaces around the house and a massive park and kid's play park next door. I would recommend the train from the airport but may for your arrival a taxi would be better. There are lots of things to do in Copenhagen. We took a day trip to Malmo which was very easy and fab. We also traveled by train to areas outside Copenhagen e.g Helsingor.
I would recommend the house and Copenhagen to anyone!