The law in Florida stipulates that you must carry proof of you your Florida car insurance at all times just as you need to carry your driver's license. If you are found without proof of insurance, you can be charged and fined and your driver's license may even be suspended. When you purchase a new car or renew your license plates, be prepared to show proof of your Florida car insurance.
This doesn't mean however that your insurance is only useful to you when you're driving in Florida. You can drive in any state in the country with your Florida car insurance which will give you the same level of protection regardless of location.