Beatrice's apartment in Florence is lovely. It's right in the center of everything - in fact, the street outside is VERY busy with tourists but since Beatrice's spot is on the 6th floor, it feels very private and quiet. All of the most famous spots are within walking distance. The rooftop terrace is a treat.
We went with our 1 year old baby and the apartment had ample space for him to walk around and play with his toys. Would totally recommend for a small family. One thing to note is that the elevator goes to the floor just below Beatrice's penthouse apartment, so if you have a heavy stroller I wouldn't recommend. But we traveled with a light stroller and it was no problem carrying it up the one flight of stairs - they aren't narrow at all.