The apartment is nice and close to the public transportation. The trams (and other traffic) keep on going almost the whole night, so if you want to sleep with your windows open, the noise from the traffic might bother you.
For the kids there is a wild west themed playground only a 500m uphill from the apartment. Our children enjoyed that a lot. The Schönbrunn Zoo is only a couple of tramstops away.
Claudia lives in the same building, so communication with her is very easy. She gave us many good tips about restaurants, things to do etc.