We had an excellent experience of l'Anticca Torre in early July - the effective air conditioning was a bonus as the temperatures hit 37 degrees outside. Everything was as described and as you see in the photos - classy, tasteful apartment which was a haven from the heat and crowds of the city.
We managed to fit in a lot of sightseeing thanks to the FirenzePass, but still used the apartment for afternoon rest before going out to enjoy the food which you can never get enough of.
Gianni and his sister were very helpful and ready to answer any question. I would highly recommend this apartment.
Other tips - go to the Mercato Centrale to sample the best of all Italy's foods; cross the river to experience a slightly less touristy atmosphere. And go early to the big sights - with the Firenze pass you will be among the first in and it is a wonderful experience.