I'm not sure where the "Falls" are? Are you talking about Wichita Falls?
The first place that comes to mind is Spring Creek Offroad Park...located in Spring, TX. However, I heard that place was supposed to close down on Dec 31st (the local county was buying the land). I have not heard for sure if it actually closed down or not, but I'm guessing it did.
Assuming that place is no longer good, the next closest place to Spring, TX is probably General Sams near Huntsville, TX (45 minutes north of Houston on I-45)
About 2 hours northeast of Houston, you can find 3 large ATV parks. Riverrun park (Jacksonville, TX), Mud Creek offroad park (Jacksonville, TX) and Shiloh Ridge (Alto, TX). These 3 parks range in size from 1,000 to 2,000 acres as I recall. You could easily spend a weekend by "atv park hopping" from one of these atv parks to another...I did that once a long time ago (only hit 2 of them)...was lots of fun as all 3 parks offer different types of terrain.
There is also SoggyBottom ATV Ranch in Bryan, TX...its about 1.5 hours north west of Houston.
That is all I can think of in the Houston and North Houston areas.
Here's a map that shows you where different ATV parks are located in TX. Some of these places are no longer open, including Rural Shade ATV Ranch that was located near Corsicana, TX. http://www.txmud.com/texasmap.php