Hi AlmightyGreg
Try this
Click on the database you wish to work on (from list of databases on the phpMyAdmin home screen).
select a table by clicking on it.
Once inside the table, click on the Operations tab.
Scroll down to Table options where there is the option to change the name of the table.
Where it says Rename table to, enter the new name for the table.
When you are ready to proceed, click on Go.