"Custody" in Florida Courts is known as "timesharing". Timesharing can be established in a Paternity Case, if the parents are not married, or a Divorce case, if the parents are married. This article focuses on the Paternity action process.
The are many pros to filing a Paternity Case, such as consistency and enforcement help when the other parent does not follow through as ordered. The only real con is the cost of filing, but a professional family law attorney can help manage those costs.