As a lover of contemporary art, every time I go to Firenze, I will definitely pay a visit to Strozzina. The part I love the best is the courtyard, which works like a showcase window of the exhibition inside, with site-specific installations, always nice, and open to the public. If not enough time for the well-curated temporary exhibitions, just a sitting at the courtyard or a caffe at the bar can also be very inspiring and relaxing.
The only negative opinion about the space is about the toilette, for the ground floor of Palazzo Strozzi, there is only one toilette near the bar open with key, so only client of the bar can use the toilette, or there is another one on the first floor belonging to exhibition space of Palazzo Strozzi, so you can go only if you have the ticket to visit the exhibition up floor.