How should I file state estimated taxes when I know that I'll move states July 1? Should I only plan to make the first two quarterly tax payments in my current state?

Yes, make only the first two payments to the state you live in now.  You can make the last two payments to the state where you are moving to. Click on the state below for contact information for that state when you need to start the estimated tax payments (September 15th) for state number two.

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