We went at Firenze for 5 days and we liked the city so much ! Barbara and Maurizio were very nice, full of good advices and tips to discover the city and to find good places to eat, make shopping and visiting museum.
The flat have a perfect situation, at 50m oh the boboli gardens and at about 2 minutes of the ponte vecchio (so of the city center).
Furthermore, the train station os about 6 minutes of the flat (with train for Pisa or Siena for 8 euros to go in about 1 hour in those cities).
If you want a really nice place with a good localisation and kind hosts rent this flat !