I believe the tree you speak of is The common persimmon.
*Diospyros virginiana
It’s range covers the eastern part of the country including Florida.
While certainly edible, some of the wild ones are small and Seedy.
Some better than others .
With seedlings ,Some trees will be males so no fruit on those.
I would suggest getting some good grafted named varieties instead of wild seedlings especially if space is limited.
Many posts on here about persimmons