You'll definitely need to add Palo Duro Canyon to your list of must-visit sites. There's a reason that it is visited by fellow travelers from all around the world.
It's situated in Amarillo. If you aren't quite familiar with the name, it's 390 miles (628 kilometers) away from the state capital, Austin.
Be ready to travel a little farther than usual to reach the front door of your hotel at the end of the day. Given its remote location, you won't find anywhere to stay in the immediate surrounds. Well-frequented places are the Courtyard by Marriott Amarillo Downtown, 20 miles (32 kilometers) away, the Holiday Inn Express Hereford, 45 miles (72 kilometers) away, and the Holiday Inn Express & Suites East Amarillo, 19 miles (31 kilometers) away.