If you're definitely in Eastern TN then they have to be
Pseudacris crucifer,
Pseudacris ferrarium, or slightly less likely,
Pseudacris brachyphona. These are small tree frogs, though they are not as arboreal as their larger relatives in the genus
Hyla. You can raise them in the same way as you raise Gray Tree Frogs (follow the Care Articles link at the top of this page). I would tend to favor
Pseudacris ferrarium. You can read more about Tennessee's frogs here:
TWRA: TN's Frogs and Toads