Governor Whitmer's Executive Order 2020-21 states that parenting time exchanges are an exception to the ban on staying in place. Specifically, Section 7(b)(4) provides:
"(b) Individuals may also travel:
(1) To return to a home or place of residence from outside this state.
(2) To leave this state for a home or residence elsewhere.
(3) To travel between two residences in this state.
(4) As required by law enforcement or a court order, including the transportation of children pursuant to a custody agreement."
The Michigan Supreme Court also issued a Statement on March 17, 2020 that provided in part:
"If future government decisions restrict travel or, if a child’s safety is an issue, parents should work together to keep the child’s access to both parents as close to the normal arrangement as possible. Remember that children might also be nervous about current events and need reassurance from parents. If it is necessary to share parental responsibilities in ways different than the court order provides, parents should cooperate with each other to further the child’s best interests. If parents are not able to agree between themselves how to do this, their court order continues to control what they should do."
You have to make decisions in the best interests of your child(ren). How you and the father work that out is between you. These are difficult and unprecedented times. Good luck and best wishes for safe navigation through these next few weeks/months.