Voted Greystar’s 2008 Renovated Houston Medical Center apartments Property of the Year! Kirby Place apartments in Houston, TX near the Texas Medical Center offer 1 and 2 bedrooms starting from $985-$1855. Some convenient features offered at Kirby Place include Medical Center shuttle service, Minutes from downtown, The Galleria and Texas Medical Center, over-sized garden tubs, assigned covered parking, brushed nickel hardware, resort-style pool with barbecue area, remodeled fitness and business centers, 2-inch faux wood blinds, resident lounge and more. Directions to these apartments in Houston Medical Center: From Highway 59, go south on Kirby past Holcombe, apartments in Houston Medical Center on the right.