A friend and I spent Monday through Friday at Jeppe's place. The apartment is very centrally located just a 10 minutes walk or so away from the central station (København H) and everything is within reach, walking, biking or by public transport. I had to work remotely for a few of the days that we were in Copenhagen and can tell you that the internet connection is great, the work space in the master bedroom is comfortable and there are great opportunities in the area to grab a quick lunch (check out Kødbyen nearby!).
Jeppe was accommodating and provided us with a guide for the area, which was great. The apartment is beatiful and really has that "hygge" feel as advertised, the beds are comfortable, the sofa in the living room is amazing (so soft!), the kitchen is fully equipped (albeit small) and the bathroom has everything you need too.