You'll need to prepare 2 separate part-year resident state returns. Please first prepare the state return for the state you moved FROM, then go to the return of your current residence. The TurboTax FAQ below will instruct you on how to prepare and file each return.
https://ttlc.intuit.com/community/state-taxes/help/how-do-i-file-a-part-year-state-return/01/26057
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