How Much Is Average Rent For An Apartment In Houston . When it comes to renting, you can't beat the price. Family of four estimated monthly costs are 3,186.75$ without rent (using our estimator). CoStar Houston housing a for middle class pushed out of pricey from www.chron.com These figures are also compatible with living in other texan cities like dallas. Here's a brief look at the average utility costs for different texas cities. 6% of apartments in houston cost over $3,000 per month.