It depends. Since you have an idea on home much income you will earn in that period, you can calculate out the full amount of what you need for the year, and pay only the first two installments. This will cover you from having to worry about a penalty. It may even be a slight overpayment, but then you will receive a refund for the excess. Then you can make the two estimated payments to the new state if you continue your work there (and if they have a state tax).
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