What type of Florida trust can I set up to purchase property with cash but remain anonymous from seller and protected?

You can create a Revocable Living Trust, but you will need someone, whose name will be on the documents, to serve as Trustee. There are 2 types under 689.070 and 689.071, but either will get you to the same place. What you need to know is that having a Trust like this does not protect you from your creditors. It just may make it harder to find the asset, but it is discoverable. You may want to consider some other options for protection.