We have a little misundersand about the check-in deadlines, the anouncement nothing says about it, but aparently after 20hs is not a "decent time" to arrive. That is a important point cause many people in europe can flight only after work, and many other get airport at stranger times than 21:30.
The apartment was very nice, near center and with all the basics, the reception was very gentle and we spend a great time in Florence.