Florida recognizes what are called “Pet Trusts”, where you can provide for someone to take care of your pet or pets after you die.
Without getting into the technical aspects, essentially the law allows you to devise money to an individual provided they use that money for the care of one or more pets.
There is a very good article about this from Debra Simms, an attorney with offices in Orlando and The Villages, here:
If you have pets, you need to think about what will happen to them after you are gone.