I'd like to highlight what
@NonprofitER mentioned regarding property taxes too because I think people that are not familiar with Texas (or other really high Ptax states) won't get this.
Texas has no state taxes, so they charge REALLY high property taxes for school, county, and utility district (Austin may have others). On a house that the P&I may run ~$1000, expect to pay at least (like the bare minimum and Austin is pricey so this is likely grossly underestimated) $600-800 each month for taxes if you're escrowing or else be prepared to pay out of pocket both taxes and insurance at different times of the year.
Homeowners insurance is also usually escrowed, so add another $50-100/monthly (parts of Texas are
really high to insure because of hurricanes/flooding/tornadoes).
HOA (if you live in a burb in Texas there is going to be an HOA most likely) another 200-500+ yearly (not sure this can be escrowed, usually paid directly to the HOA management company).
And if you don't put the full 20% down, PMI (private mortgage insurance) at least another $20+ monthly.
So that $1,000 mortgage payment suddenly becomes a $1,800+ payment.
And that is before you even consider the higher cost of utilities for a house, cost for upkeep and covering when the HVAC goes out or need the water heater replaced.
You can actually see payment info and play with the numbers if you look at homes on realtor.com - they have a payment estimator (with approximates filled in based on county tax records, but it defaults for a 20% downpayment so need to adjust if that's not going to be the case).