Gray's place is in striking distance of the train and bike rental shops, but his home is so close to great restaurants and shops that you'll feel just as comfortable walking. I highly recommend considering Gray's house.
Gray's house is a mix of rustic and modern fixtures that make you feel like you're living in a furniture store show room - in the best way. His house was spotless and very spacious, you can sense that he cares about his guests. Everything was easy to use and he even had a washer and dryer in the house!!!
I believe his bathroom floors are heated since I never felt the chill of tile when I walked in and in cold Copenhagen nights, this is can be greatly appreciated.
Gray was very welcoming and took the time to help my wife carry her luggage up the stairs. He provided guides and tips on what to do and see and made our experience that much greater. He even bought us milk!
Some key things to know:
He has a coffee/espresso machine!!
He has a washer and dryer!!
A TV - I think the only English language channel was the Travel Channel.
Wifi with a signal extender.
No microwave, but barely ate in the house so it was not even an issue.
I can't stress how great the location of his place is, he is next to the cool meat packing area and near boutique shopping districts.