We had a fantastic time in Vienna and Peter's place was perfect for our needs. The place was tidy and comfortable, with all the amenities advertised. The bedroom is cozy and the kitchen is quite modern and nice. There was coffee and tea already in the apartment which was very much appreciated.
The 40 tram is a short walk away (Alseggerstrasse) and can take you directly to the town center (Schottentor). I suggest buying a 24/48/72 hour transit ticket depending on how long you'll be staying.
I highly recommend Peter's place!