For a short break to Florence, the Hotel Burchianti is a real find. It is in a very central location but on a quiet sidestreet (via del Giglio). A few moments' walk from the main market, and about 5 minutes from the Cathedrale and the Duomo. It's a little further to the Uffizi and the Ponte Vecchio, but all easily walkable.
It's more of a bed and breakfast in someone's home than a hotel – accessed up quite a long flight of stairs (only negative for anyone with walking difficulties), you enter into a beautiful lounge with family ornaments everywhere and a relaxed and informal reception from the charming Nicolo. It feels like you have walked into the heart of an Italian family rather than a hotel.
Our room had 15th century frescos on the ceiling -stunning. The only other downside is the lack of natural light in the room. Fine for a 2 or 3 night stay but I wouldn't want to stay longer because I find it slightly oppressive. Bathroom was fine, beds comfy, wifi a bonus.
Breakfast was taken in the same reception area – the atmosphere is really lovely, and there is no comparison with a modern bustling hotel. This is true Italy and a wonderful way to be immersed into the culture, especially on a short break.
An orchestra playing in the Piazza each evening was a perfect finish to each day of shopping and sightseeing. And then of course just a few minutes walk back to our delightful hideaway.
As long as stairs are not a problem, and you don't mind a fresco for the view, I can recommend the Burchianti without hesitation – it's very reasonably priced (150 € per night for 2 people on B&B), and will give you a real taste of Italian aristocratic family life.