But there is no such choice in the single most important sphere of all: the children education.
Really? There is no choice? No private schools, no charter schools, no home schooling?
I'm all in favor of arranging public education to grant more choice to students; smaller and more numerous schools and let a student go to any public school in their county/city/state (depending on how taxes are allocated) they like. Maybe even vouchers for secular private schools that take the voucher as the whole tuition (no public funds for religious education, no letting rich kids use tax dollars as partial payment at a school for the 1%ers), though I'm not sure on that point. But to claim that the current system offer no choice is simply inaccurate.
Since 1960-ies the per-pupil annual cost of public schools quadrupled (inflation-adjusted), while the quality of education remains the same (if it has not gotten worse).
Public schools have increased the array of services provided -- free and reduced-price meals, special education, vocational education, and services for disabled or ESL students -- in that time.
Overall, public schools have equivalent or better outcomes than private schools with the same level of spending per student.
And Texas's public school spending is near the bottom compared to other states, so trying to link this to some supposed overspending on schools does not fly.