We had an amazing stay at Lucia's place, the apartment is completely independent of the main house with separate entrances. Although Lucia was away at the time, check in went smoothly and she still kept in contact which was great.
The apartment itself was even better than the photos show it - really nice & clean with good cooking facilities as well.
It isn't in the centre of Florence but is very close to the bus stops or is an easy 30 min walk.
Overall we had a great stay and would recommend.