Graybeard's talking about the Public Hunting Permit. For $50 (on top of your hunting license) you get a map of and privileges to hunt, within established seasons and other limitations, on various plots of private land that the state has leased just for this purpose. The map book is about as thick as an issue of American Hunter and gives all the details you need for any of the public areas statewide.
I used that permit for several years. Had a favorite spot down between Hillsboro and Lake Whitney where I had numerous fun trips chasing the squirrels and bunnies around the bottomlands, sloughs, and open brush. Great place to take a young hunter.
There's some parcels scattered around the Justin-Denton-Sanger area that are open for dove season and not much for anything else. Not a bad evening trip from Cowtown in September.
The main down side is that everyone else and anyone else is likely to be out there at the same time. Also, with a few exceptions, most areas are limited to shotguns with slugs or buckshot for deer. But, if I didn't have a regular lease, or when I do lose it, I'll be back there until I find another place.