Ok, just got back from Florence, it was a stunning place. If you like art, sculpture and architecture. This is the place for you. Lots of tourists groups from around the globe passing through on European trips.
As for gun shops, Armeria l'armaiolo was the place to go, not much out front, all the good stuff out the back. They produce a few guns themselves but also had several sidelocks and boxlocks of obscure Italian makes which was first class stuff. It's a little way out out of the town centre but worth the trip. Call first to arrange a time to visit, like most shops in Italy, it is closed for a a good few hours in the middle of the day. Armeria squillantini was 5 mins walk away but was closed when I called.
Armeria Bulli Giuseppe is right in the heart of town so easy to get to when walking between the tourist site visits that my wife dragged me to. A few nice doubles in here but I guess they get fed-up of people walking in off the street and asking the same hunting questions.
Thankfully a little broken Italian goes a long way and most shops had some English speakers so an understanding was reached.
Some bird hunting here in this region of Tuscany, but the majority of hunting is for deer so the shops are full of bolt-rifles. I rented a villa 20 miles north of Lucca in the mountains and watched most mornings as deer walked through my garden to get to a local stream for water. I kicked myself for not bringing my travel fly rod setup as the stream was full of trout.
Regards
J-PD