Check with you local housing authority for a section 8 housing choice voucher. You should also check with the Michigan State Housing Development Authority:
Address: 735 E. Michigan Ave P.O. Box 30044 Lansing, Michigan 48909 Telephone: (517) 373-8370 Fax: (517) 335-4797 TTY#: 1-800-382-4568
They can provide you with a list of properties that are multifamily section 8.