Mette's place is a lovely apartment quite close to Tivoli (10 min walk). The apartment is quite stylish, we took many pictures in the lovely cane chair! The private rooftop terrace was lovely, although we didn't get to enjoy it as much as we would have liked due to the weather in October! The huge skylight in the living room was nice as well!
Note that the apartment has elevator access but there is still a flight of steps to take before getting to the elevator as well as after. Not too bad, but we had to carry a baby buggy up and down those stairs every time we got in/out of the apartment with the baby.
Overall, pretty good value for money in a nice area. Close to the Norreport station if you plan on taking public transportation. ~10 min walking to Tivoli, ~10 min metro to Nyhavn. Fairly kid or baby friendly except for the stairs part.