Adriana's place was wonderful!
It's especially suited for an avid walker or someone who is resourceful and can use public transit. A bus line stops right in front of her building, and the center/ Piazza del Duomo area is a pleasant 25 minutes on foot, as are other areas of interest (e.g., Piazzale Michelangelo). The area is safe and full of businesses- I bought groceries, ate out, etc., just minutes from there.
The home itself is welcoming. Adriana's mother and in-home nurse live there and are polite but keep to themselves. I appreciate them setting aside space in the fridge for us, and I never had to wait to use the bathroom.
If you're visiting in summer, I suggest bringing or buying bug spray. They are pretty bad in Florence, and the space doesn't have air conditioning or a fan, so you either shut the windows (hot) or open them and deal with the mosquitoes.