You need to hire an attorney in the county you are living in to open the guardianship here so that the matter can be transferred. A guardianship case is necessary here for the purposes of filing required annual documentation. Florida does require that an attorney represent the guardian.
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You need to contact an attorney who practices guardianship law in the county where your granddaughter will be residing. A guardianship will have to be established down here and then there is a process for transferring the NH guardianship over to the FL guardianship.