Pointe At Steeplechase Apartments for rent in Houston, TX on ForRent.com: (877) 765-2385 - Availability, pricing and special promotions subject to change daily. Are you looking for apartments for rent in Houston, Texas? The Pointe at Steeplechase is the difference you can see in our impressive selection of floor plans, impeccable landscaping, out of this world amenities, and exclusive interior features. Our one bedroom and two bedroom apartments for rent are just what you need. The Pointe at Steeplechase has the perfect location in the Houston, Texas near shopping, restaurants, with easy access to premier schools.