Copenhagen is a gorgeous city, highly recommended.
Nicole's flat is highly recommended as well. The flat is really great!
It's in a central position, less than 15 minutes by foot from central station, groceries and restaurants nearby.
Comunication with Nicole was fast and friendly, open minded, she gave us a lot of informations for our tour.
You should explore Copenhagen by bike, it's wonderful. Web-based rental-systems are nearby the flat.I would say: you don't need a e-bike, a normal one is sufficient and much cheaper!