You are not a part-time resident because you did not permanently move from one state to another. You are either a permanent resident of Texas or Oklahoma with a second home in the other state.
If Oklahoma is your main home, file an OK resident return and report all your income.
If Texas is your main home, file an OK non-resident return. I don’t know what type of income you have, so I can’t tell you how to allocate it. If you have a job and commute to OK then all that income would be taxable to OK since you work in the Sooner state. Pensions, bank interest, etc. are only taxable to your state of residence.
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