We had a great experience here, with our baby daughter.
The apartment is super-central and really big.
Our host was very welcoming and accommodating, and helped us settle in nicely.
The beds are spacious and comfy. One minor comment: though there's a TV, it's not connected to any network, and doesn't connect to the internet (so basically unusable).
I'd happily return to this apartment, and definitely recommend it for anyone staying in Copenhagen.