I stayed in the room with the balcony for two weeks and enjoyed it very much. Daniele & Clara are very friendly hosts, the room and flat does have all one needs to feel fine there.
There are buses to get around, but City enter is a brief 20 minutes walk across the river. The Apartment lies in the very interesting neighbourhood of "Oltrarno" worth some exploration. Lots of Wonderful Little shops around there (take a look instead of choosing "Penny Market" across the road ;)