Like Barry said, property taxes will differ depending on where the home is located. Below is the property tax estimation website for Michigan. Just plug in the location (city and county) as well as estimated assessed value (which is usually 1/2 of the actual value of the home) and it will give you an estimate of both homesteaded and non-homesteaded property taxes. If you plan on residing in MI and making the home your primary residence you can claim it as your homestead and pay the lower property taxes.
As far as state income taxes go, Michigan's tax rate is 4.35% of your federal adjusted gross income. In addition, some municipalities such as as Detroit impose additional income taxes