Claus is a very lovely guy and will definitely do everything to enable you a great stay. We met him for check-in and check-out and had a great time with him. His apartment is top notch, just as shown in the pictures and spotlessly clean! The only thing we were missing a bit was - as the other reviewer said before us - a sink in the bathroom, there is just a small one in the toilet with cold water. The shower, however, kind of made up for the missing sink as it was GORGEOUS - perfect rain-water style pressure and lots of space, we loved it!
Vesterbro is a great and hip neighborhood with lots of shops and restaurants nearby (thanks Carsten for the great recommendations!) and the apartment is close to it all but luckily located in a quiet street.

It will take you about 10-15 minutes to walk to the main station / Tivoli and downtown, and we walked most of the time, however, a bike is sometimes quite useful to give your feet a rest :) This was our first Copenhagen trip and we will certainly be back, what a lovely city and what a great experience with Claus´apartment, thank you!
Oh and make sure to taste the Brunch plate at simpleRAW, 2 minutes to walk from the apartment - heaven!