Generally, a probate case will be opened, the house will be determined to be homestead, and then the home will become the property of the three kids, unless a will or some other document directs it otherwise. You can avoid the cost of the probate by using a Florida Enhanced Life Estate Deed or a trust in some cases.
In order to answer the question, we'd need to know a lot more about your parents' assets and their estate plan. If you are named as a fiduciary for your parents (personal representative, successor trustee) you might want to request a meeting with their estate planning attorney to sort out what you will need to do.
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