Starting from the date you move to Maine, you are considered a Maine resident, and all your world-wide income is taxed proportionately. Suppose the effective date is November 15, that means you lived in Maine 45 days, or 12.3% of the year. That should mean that you will pay Maine tax on any wages earned while living in Maine (but not wages earned while living in Texas), plus you will pay Maine taxes on 12.3% of any other income (like interest, prizes, retirement withdrawals, and so on.)
Turbotax can do all this for you.
