Looks like cabs are at stands only based on my reading. If I am staying in multiple places in Florence and don't want to walk to each new accommodation, how to I catch a cab to move from one apartment to another?
The only way is to call a cab directly to your address. You can do it when you need it, if it isn't too early or late in the day. Call, give the address you are at, they will tell you more or less time for it to arrive and the name of the cab - it is usually a name of a city and a number. That way you know it the one you are waiting for!!