Apartments In Third Ward Houston Tx . 5 rows the pricing for 13 in greater third ward currently ranges from $788 to $2,329 with an average. Explore rentals by neighborhoods, schools, local guides and more on trulia! Third Ward Apartments for Rent Houston, TX from www.forrent.com $200 off first months rent!!! As of october 2022, the average apartment rent in houston, tx is $1,054 for a studio, $1,176 for one bedroom, $1,447 for two bedrooms, and $1,459 for three bedrooms. With 682 neighborhoods in the houston area, this section.