File a nonresident return or no return (whichever is appropriate) in the old state. Because Texas does not have an estate tax, people domiciled in Texas can eliminate their statelevel estate tax from the prior state they resided in.For information on values, to file for an exemption, or to report changes in ownership or address, please call the Appraisal District at 210-224-2432. For questions, call the Bexar County Tax Assessor-Collector's Office at 210-335-6628. International students who hold an eligible visa. If you are independent for tax purposes, you may gain resident status if you establish domicile in the state.