I highly recommend this apartment! It's situated at a perfect location - close to the old city center with all historical sights but still a few minutes from all tourists. When arriving from Peretola airport I recommend taking the T2 tram to the city and change at Allemagna to T1 and then get off at Strozzi-Fallaci. From there you have a few minutes easy walk to the apartment. (The first time we took another route on narrow pavements with lots of pedestrians which was hard with the luggage.)
You have a grocery store just around the corner, the trainstation and busstation is a 15 minutes walk away, there is a bus stop just a few minutes away if you want to go to cozy Fiesole up in the hills (do it! The view is stunning!) and in the vicinity there are lots of restaurants and cafés. You couldn't find a better place to stay.
The private little garden outside the kitchen is adorable! Almost no city sounds reached in there. A blackbird sang to us every morning. The bed was comfortable (although a very tall person could find it too short) and you had access to everything you needed, including a washing machine. (No microwave oven though.) We were very well taken care of by Francesca and her son, and will book this apartment again if we return to Florence.