What is considered taxable income in NC

The concept of "income from NC sources" does not apply to residents.

 All income received while a resident is taxable by the resident state, regardless of the source. Since you are now a resident of NC, all your income received since the move date  is taxable by NC. 

@Hornman - NC taxes are quite simple -

for a full year resident,  it starts with your Adjusted Gross Income on Line 11 of the Federal Tax form.  That number less $12,500 for the standard state deduction (filing single) times 4.75% is the tax due.  

All your pension income, royalties,etc. are taxed in North Carolina as your are a NC resident.   

Where your employer is does not matter.  Where you physically work and live matters.  

it is rather simple,

if you moved to NC during the year, you are a part-year resident and the TX income would be excluded.  

Turbo will walk you through this quite simply.