Medical Center apartments - Texas Medical Center collectively make-up the city's largest employer with over 51,000 local citizens working in over 42 institutions. The Medical Center area is attractive to alot of people who enjoy the convenience to The Medical Center, Rice University, The Museum District, the Astrodome, downtown and the Galleria. There is an enormous range of housing costs depending on the neighborhoods. Many neighborhoods you may want to check out are University Place, Southhampton, Southgate, Old Braeswood and Morningside Place. Boulevard Oaks was formed by a group of small neighborhoods: South Hampton, Vassar Place and North & South Boulevard. This area is know for it's abundance of oak trees.