Originally Posted by ollinger
Don't recall seeing any courts in Florence (centro) but just west of the city (about 20 minutes by train) in Montecatini is a park with a gorgeous clay facility, full time pro who will hit with you or find a match for you from his roster of townies.
Montecatini is actually more like 45-50 minutes train ride from Florence.
You may have googled this up already, but this looks like a very convenient and central club in Florence: http://www.ctfirenze.it/
It's in the Parco delle Cascine, a very nice park in walking distance of the downtown and a popular place for locals (at least by day-- I've heard that it's a little sketchy at night).
Don't know how easy it would be to get court time or lessons. The contacts page is "under construction," but they do have a contact email (firstname.lastname@example.org). Might be worth dropping them a line to find out what the options are, or if they can recommend a place.
Tennis aside, the Tuesday morning market in the Cascine is a fun thing to visit if you are there at that time.