You are a part-year resident of MI and MD, and must file as a part-year resident of both states. This FAQ explains that process in TurboTax: https://ttlc.intuit.com/questions/1901227-how-do-i-file-a-part-year-state-return
You are not a resident of DC. Request a refund of the withheld DC taxes by filing DC Form D-40B. Here's a link to the 2016 version of that form: https://otr.cfo.dc.gov/sites/default/files/dc/sites/otr/publication/attachments/2016%20D-40B%201.06.... The 2017 version has not yet been published.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
