You need to set up a new business in the federal section of TurboTax, separate from the one you have from last year. There is no way in the federal section of TurboTax to indicate what state the businesses income belongs in. You will do that when you go through the state tax returns.
You will file part-year resident tax returns in both states. Look for an option for a credit for taxes paid to another state on your resident state tax return. That option will prevent you from being double taxed on income taxed by both states. Since it appears California is now your non-resident state, do that return first to help with the credit for taxes paid to another state.
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