If you and your mom are currently the legal owners of the timeshare, you do not need a lawyer in FL. It is difficult to understand exactly what you are seeking; was there only one timeshare in FL? If so, how was the title to that timeshare held? Was it referred to as "joint tenant" - what did the deed say? If you are saying that now you and your mom own the timeshare, and that is the same timeshare you reference your dad owning, then it seems as though the ownership was joint tenants (perhaps all 3 names on the deed?), and when your dad passed, whatever his ownership was would pass to his joint tenants. If that is what you are referring to, then you do not need any lawyer in FL. Your dad's ownership was automatically transferred to the remaining joint tenants. You only need to update the timeshare company to let them know that your dad passed and the remaining joint tenants are now the legal owners. You will need to provide a copy of the death certificate and pay any internal fee the timeshare may charge to update the internal records.
Now, if you are referring to your dad owning a timeshare on his own, in his own name, and he died owning that timeshare, then you can google ancillary probate in FL and find a lawyer who will handle that legal process to probate that portion of your dad's estate as it relates to FL real property. But that is ONLY for real property your dad owned individually or as a tenant in comment and not as a joint tenant with anyone else.