Cheap Apartments For Rent In Houston Tx 77074 . We found exactly 80 apartments for rent in the 77074 zip code of houston metro, tx. Search affordable apartments for rent within the 77074 zip code with the largest and most trusted rental site. Houston West Lake Apartments Houston, TX 77074 from www.apartmentguide.com 4.0 out of 5 stars, 1 reviews 1 bed • 1 bath. Find your next cheap, affordable apartment in 77074 on zillow.