USTA Texas encourages advancement opportunities to higher skill levels through their Youth Progression system. There are junior tournaments for beginner, intermediate or advanced players.
Find more information here: USTA Texas Youth Progression System
Junior Open Tournaments (USTA Texas-sanctioned)
Challenger, Champ, and Super-Champ Divisions
http://www.youthtennistexas.com/junior-open
http://www.youthtennistexas.com/junior-open-schedule