It depends.
It sounds like you are a part-year resident for both New Jersey and California since you indicated you moved to California and have been living in California.
If your intent is to stay in California, you would be considered a resident of California. You would not file as a nonresident if this applies to you.
How you file will depend upon your answer to the statements above.
Assuming you are a part-year resident of New Jersey and California, you will report your income based upon the state source of the income.
For any income that is earned from New Jersey sources while you are residing in California, you will be able to claim a credit for taxes paid in the other state to ensure you are not taxed on the same income twice.
This credit would be calculated in California under the credits section of the state interview section.
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