Although the building doesn't look like it, the flat is very modern and amazingly nice equipped. Two Air Condition units guarantee cool air also during the (very) hot summer days in Florence (it was 35 degrees during our stay). The nice balcony oversees a quiet courtyard. Everything of importance is in walking distance, all highlights can easily be reached by foot.
Silvia suggested a couple of restaurants, which we tried and found both to be very delicious. Her recommendation of a great viewing point on the other side of the river turned out to offer a fantastic view over whole Florence, which we enjoyed a lot.