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IF THERE ARE NO CUSTODY ORDERS IN PLACE, then she can. However, it is good practice to give notice to the other parent anyhow, to avoid him attempting to claim that she is kidnapping the child. See State v. Badalich 479 So.2d 197 (Fla. App. 5 Dist., 1985). At the same time, he can file for custody/visitation, essentially "tying" her to the state until the matter is resolved.
IF THERE ARE CUSTODY ORDERS IN PLACE WITH HER AS THE CUSTODIAN, then she has to give notice. If so, then he can try to stop her by filing a petition under Fla. Stat. Ann. § 61.13(2)(d). If so, the Court would decide whether or not the child can be relocated based on the following factors:
(1) whether the move would be likely to
improve the general quality of life for both the
residential parent and the child; (2) the extent to
which visitation rights have been allowed and
exercised; (3) whether the primary residential
parent, once out of the jurisdiction, will be likely to
comply with any substitute visitation arrangements;
(4) whether the substitute visitation will be adequate
to foster a continuing meaningful relationship
between the child and the secondary residential
parent; (5) whether the cost of transportation is
financially affordable by one or both parties; and
(6) whether the move is in the best interests of the
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