What happens to my Revocable Living Trust upon my death?

I am in the state of Florida what are the procedures that happen before my beneficiaries are transfered their inheritance? I suppose the death certificate is first and then what happens after that. How long will this process take? what if my beneficiaries are in financial need? can the process be speeded up? we are avoiding probate so I imagine it would be transfered in 30 days or would it be immediately?