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You cannot deduct the costs of either residence as a business expense. If you look at Publication 463, http://www.irs.gov/pub/irs-pdf/p463.pdf, which covers travel expenses, you cannot take any deduction if your tax home is away from your family home. Your tax home is where you are earning income, which is NC in your case. Your family home is in TX.
However, you can take moving expenses, as long as you pay for your move and incur the expenses within 1 year of taking the new job. See Publication 521, http://www.irs.gov/publications/p521/ar02.html#en_US_publink1000203446. There are many expenses that you can deduct, including the cost of your move and your family's move, if they are done at two separate times.
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