Lise's place is exactly as described. I really liked her style and décor, which gave a really nice vibe. Her place is in a great location and you can walk to just about all the great sites that Copenhagen has to offer. She had a list of suggestions for eating and a great deal of brochures for things to do in the area.
Two places I have to suggest you see while you stay are the Carlsberg Brewery, which is probably one of the best ones I've been to and Warpigs, which is a great place to get some Brisket and Brew. I actually went to Warpigs twice to get my fill on Pork because it is something I can not easily get where I live.
Disclaimer:
If you can avoid renting a car during your visit do so! You have to pay for parking everywhere and I found it is just easier to walk or take the public transport.
In my case, my family met me for an extended visit at my home in Turkey and had a great deal of luggage and a couple car seats so a car was a must have in my situation.