Check out these Houston, TX apartments in Memorial Heights area. 1-1 and 2-2 affordable Memorial Heights apartment home in Houston. Allen House are a great place to live if you are looking for location and affordability. A nice thing about these apartments is that they offer a shuttle to downtown during the week so you can save money and time. On the weekends enjoy a jog around Allen Parkway/Buffalo Bayou or shop around River Oaks shopping center. Allen House offers a plethora of amenities from seven pools/ Jacuzzis, maid service, personal trainers, and concierge service. Allen House embodies glamour, sophistication, convenience, and fun all for your living enjoyment