Lorenzo's place was great - exactly as described. We had a private bath with hot water, a room that felt very spacious due to the tall ceilings, and easy access to everything in Florence.
That last point may not be great for everyone. There were some American students out late the night we stayed there and their shouting woke us up a few times. If you're a light sleeper, this may not be the best option for you, but for us, it was just fine.