Signora Jessica has a very cozy apartment in the pleasant San Jacopino neighborhood, which while close to the city center, is a very 'local' place complete with a bar, pharmacy, supermarket and an excellent bakery and restaurant. The room itself is small but comfortable, and signora Jessica is quite friendly and accommodating, even letting me extend my stay and helping me find another place on very short notice due to how fascinated I was by Florence. Overall, it's a relatively economic solution if you want a comfortable place and don't mind sharing it with a very kind family.