The apartment is in a very central location right next to the Duomo. The building itself is an old apartment building complete with an old fashioned style elevator - the apartment itself though is very modern and well furnished. Luca is a very nice host too taking the time to show us around including the terrace. The terrace is shared but affords great views of the Duomo and the rest of the city. It is also only a 10 minute walk from Firenze SMN station.
Would definitely recommend.