It is recommended that you apply to 3-4 potential schools. You should have your applications in by October 31. Just because you apply, and just because they accept you, does not mean you have to attend. That will be your choice. Most deadlines for you to accept are May 1. Most of the websites will redirect you to ApplyTexas (where you can apply for multiple colleges at one time).
Texas Tech - Lubbock
South Plains College - Levelland
Wayland Baptist University - Plainview
West Texas A&M University - Canyon
Lubbock Christian University - Lubbock
Western Texas College - Snyder
Tyler Junior College - Tyler, TX
Cisco College - Cisco, TX
Trinity Valley College - Athens, TX
Blinn College - Brenham, TX
Navarro College - Corsicana, TX
Kilgore College - Kilgore, TX
Eastern New Mexico University - Portales, NM
University of Texas - Austin
University of Texas at Arlington - Arlington, TX
University of Texas Permian Basin - Odessa, TX
University of Texas El Paso - El Paso, TX
Texas A&M - College Station
Utah State University - Logan, Utah
George Washington University - Washington, D.C.
Rensselaer Polytech Institute - Troy, NY
Abilene Christian University - Abilene, TX
Angelo State University - San Angelo
Texas State University - San Marcos
Amarillo College - Amarillo
Howard College - Big Spring
Baylor University - Waco, TX
Brigham Young University - Provo, Utah
Weber State University - Ogden, Utah
Dixie State University - St. George, Utah
Oklahoma State University - Stillwater, Oklahoma
New York University - NYC
Mary Hardin Baylor - Belton, TX
University of North Texas - Denton, TX
Navarro College - Corsicana, TX
Tyler Junior College - Tyler, TX
Howard Payne University - Brownwood, TX