Build Recurring Income

I recently moved from Michigan to Tennessee, and am continuing to work remotely for the same company. I understand that under normal circumstances, the two states would do some sort of weird mathematical equation behind the scenes to figure who gets how much tax on my income. How does this work in Tennessee, which has no state income tax on wages? Have I chosen poorly by moving to a state where sales tax is higher to help compensate for the lack of income tax, or will I get some sort of credit next year?

I recently moved from Michigan to Tennessee, and am continuing to work remotely for the same company. I understand that under normal circumstances, the two states would do some sort of weird mathematical equation behind the scenes to figure who gets how much tax on my income. How does this work in Tennessee, which has no state income tax on wages? Have I chosen poorly by moving to a state where sales tax is higher to help compensate for the lack of income tax, or will I get some sort of credit next year?

How do they verify your income? If you do a documented income loan for a home refi?