Q: "So if I understand correctly what you say the "other state credit" applies ONLY if there is double-taxed income situation"
A: That's correct. "Other state credits" apply only when you have income taxed by both your resident state and a second, non-resident state. In your case, since OR no longer taxes your income after you become a resident of HI and assuming all your work from that point on is performed remotely from a HI location, you have no double-taxed income.
In the Personal Info section of TT, you should enter HI as your State of Residence and you should indicate that you also lived in OR. You should indicate that you had no "Other State Income." You became a HI resident for tax purposes when you began living there with the intent of making it your primary, permanent residence. Then you should allocate your income between the two states according to your dates of residence. This can be done within the TT program, as @HelenC12 pointed out.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
