My wife and I will be in Florence the end of May. I was wondering if there are any good running spots or trails (3-5/miles) that anyone could suggest while we are there. Or local running groups? Also we will be celebrating our 15th wedding anniversary and separate May birthdays as well. Any special romantic places/restaurants that might be worth it? Thanks!

That is a steep decline and then a very steep uphill to the Forte Belvedere (that course has a piece inside the Boboli which you can't do without paying entrance - and they allow running during races but with other visitors I think you'll find it impossible).