First of all, oh my God the location. It's perfect. You step out the door and you're right in the middle of the action. Florence is so nice to walk around in, and it's small and charming and just wonderful. The duomo, or dome, is right in the centre of town, and Livia's place is just down the street. There's terrific food and all of the sights right on your doorstep.
The apartment is also very cool in its own right, being in a traditional and historical building. This was also the most comfortable AirBnB bed we've ever had.
We communicated sometimes with Livia but mostly with her cousin, who was very helpful and responsive, and who gave us great local recommendations. We asked to keep our bags in the apartment for a couple of hours after check out time while we visited (just one more!) museum, and they were happy to accommodate.
Very much recommend!