Your fees should be nominal and the title company or your Realtor should be able to help you understand what they might be.
I agree with Bill, all costs are negotiable. I always recommend a private home inspection to buyers and in your case, also suggest paying for an appraisal. Better to spend a few hundred extra than find out you cannot afford to make major structural repairs on a home you purchased for more than market value.
Make sure you understand all items on the City of Detroit property inspection before signing an Affidavit of Compliance and Responsibility (ACR). When I did not pass my first inspection prior to selling my home in Detroit, the inspector found 10 items the first missed.