Great place and location and perfect.
BUT:
1. Garages close around 9:30/10pm so if you have a car, you have to find Piazza Mentana car park. However, at those times Italians love to socialise with friends so you will find absolutely no parking anywhere near. You will have to move away from the centre, and also across the river for any visitor/paid parking. We had to park (on a friday at 23:45hrs) at least 4 kilometres away after dropping off our bags at teh apartment.
2. There are no lifts. The apartment is on the second floor (and in old Florence, the ceiling of a single floor is around 25ft) so there are a lot of stairs!