great news for you
Tennessee is one of nine states in the United States that does not or nearly does not have income taxes. The state isn't entirely income tax-free, as Tennessee still has the Hall Tax, which is a flat tax on interest and dividends. being a non-resident you wouldn't pay any tax there on your interest and dividends
the only state income tax return you'll have to file is for Michigan
as to Michigan cities
The Michigan cities that levy a local income tax charge tax rates ranging from 0.5 percent to 2.5 percent. Normally, city income tax will be withheld from your pay along with federal and state income taxes.
Eighteen Michigan cities have a local income tax rate of 1 percent on residents. They are Albion, Battle Creek, Big Rapids, Flint, Grayling, Hamtramck, Hudson, Ionia, Jackson, Lansing, Lapeer, Muskegon, Muskegon Heights, Pontiac, Port Huron, Portland, Springfield and Walker.
Four Michigan cities have higher local tax rates. Detroit taxes residents at a 2.5 percent rate. Highland Park taxes residents at 2 percent. Saginaw imposes a 1.5 percent tax on residents. Grand Rapids levies a 1.3 percent tax on residents.
The state mitigates the cities’ tax bite by providing a partial state income tax credit for city income taxes paid.
ask your employer about city withholding if you live in one of the cities above.
if you are subject to one of those city's income tax, be aware TT may not do it. and even if they do you may have to paper file it.
