This is a great place to stay. I lived in Florence for more than a year and know the city well. Here's some really important things to know:
1. Everything is very walkable
2. You will encounter stairs. Lots of them. Don't be affected by this as its typical in Europe to not have any lift access. The buildings can't be refurbished due to historical value.
3. Noise is expected at night.
That being said, this is a fantastic little spot. It's secluded inside a building so you don't have a ton of noise from the street.
Secondly, it's walkable to all major destinations. The duomo is literally a block and a half away. The mercato centrale is a block and a half away....honestly it's probably the best place you can find for the money!
We had a great trip and would certainly stay again. The staff are super helpful and they helped arrange our travel to the airport and answered all questions promptly via text. Also their office is only 4-6 doors down from here, making it ideal if there are any issues.
Grazie mille, ci vediamo ancora subito!!