You can buy Tennessee hunting and fishing licences at resident prices if you are a nonresident service member on active duty and stationed in Tennessee. Your children can too, if they are under 16 and live with you.
Buy the licence from a Tennessee Wildlife Resources Agency licence agent and show your orders assigning you to Tennessee.
Your military ID and a copy of orders showing you are stationed in Tennessee, plus proof that your children live with you if you are buying licences for them.