I can only confirm that Pil's apartment is a very inviting and perfectly situated location for your visit to Copenhagen.
And if you have some spare time left between your trips to the CPH sights,
I would really recommend sitting on the balcony, sipping your coffee and enjoying the view over the neighbourhood. We were very lucky with the weather: CPH at the end of september can be quite warm and we did have our breakfast out there, on the roof.
It's a pity we didn't meet Pil, she was travelling herself and left the key in a cafe spot nearby. Everything was well organized, communication with Pil was relaxed and funny. So, there's nothing more to say than: just go there, it'll be fun!