I would definitely recommend this apartment. The location was amazing - right next to the Cathedral of Santa Maria del Fiore (the Duomo looks within touching distance if you stick your head out of the bedroom window). The host, Massimo, was exceptionally welcoming and always replied to our queries immediately. While our stay went very smoothly, the couple of small issues we did have were sorted within a couple of hours.
The downside of the location was that it was quite noisy, with restaurants/shops packing away in the evening around 11pm and the cathedral bells ringing in the morning. For most people the noise would be absolutely worth it to be in such a great location, as stepping out of the front door right into central Florence was fantastic. However, it is worth noting that particularly light sleepers might be better suited to somewhere less central.