Home prices in Lansing run 56% below the national median: $185,000 versus $420,000. Relative to the $45,000 median household income here, the price-to-income ratio comes out to 4.1x.
Property taxes in Lansing run 2.1% of assessed value, above the 1.1% national average. On the median home, that's $3,885 a year, or $324 added to the monthly payment.
Michigan levies a state income tax on top of the $1,365/month this mortgage runs. Model your real after-tax take-home before deciding how much payment you can carry.
Lansing's cost of living index is 84, below the 100 national baseline. That's on top of the housing numbers above, not instead of them.
Lansing's median home price runs almost identical to nearby Detroit, both landing close to $185,000.