I really liked this place. It's an apartment given over to use as a B+B (the people who run it live elsewhere in the same apartment building). The 3 rooms available are all decent sized and tastefully fitted out - there's a general black+white theme to the decor. The place seems to be kept scrupulously clean and breakfast was very nice (served @ 9am weekdays, 9.30am weekends). The bathroom/shower is shared so that may not suit some people, though I didn't have a problem with it.
Locationwise, it is a bit away from the city centre - though Copenhagen has a very good, integrated public transport system, so the centre is easy to get to. Admittedly, the location might make things a little more awkward for you if you've never been to the city before - I used to live in Copenhagen so it wasn't a problem for me & it was nice to have a little taste of (nice!) apartment living on my return. The location also means that (if you feel so inclined) you can explore some of the neighbourhood shops, bars etc. - and get to see a little bit outside of the main touristy spots.
Overall, if you don't mind sharing a bathroom and don't mind being a little bit away from the absolute centre of things then this is very good value for Copenhagen.
Also, when you arrive, note that there are no signs outside indicating "Bed & Breakfast Company" - just the names on the doorbells that you get with a regular apartment. However, once you book with them, you're provided with detailed instructions as to which doorbells to ring or numbers to call when you get there!