Florida requires that you update your address information on your drivers license within thirty (30) days of moving. The easiest way to update the address on file with the Florida DMV is online.
Another option is to go to a local DMV office
It's important to keep your address with the DMV current so you receive any mail sent to you regarding your drivers license. A few examples of mailings you might receive from the Florida DMV include:
All of this information may come by mail and if you address is not updated then you risk not receiving it.