For your 2021 tax year, you will need to file your federal return and part year resident returns for Oregon and North Carolina.  Your taxable income will need to be allocated based on the percentage of time spent in each state.  I see in your post below that you have social security income.  The state of Oregon and North Carolina do NOT tax social security so that income will be tax free in both states.

Congratulations on your home purchase!  For tax purposes, you will want to watch for your mortgage interest statement which will report your points (if any), interest and property taxes paid for the year.  These expenses can be added to your itemized deductions.  Your itemized deductions will be compared to the standard deduction to see which deduction provides you the most benefit.