Very similar to estate administration.
The basic idea is the same - distributing the trust's assets to the rightful heirs.
The Probate Court only gets involved if someone asks. That typically occurs when there are disagreements over way the trustee is handling administration.
More info here: Trust Administration
A guardian is a person who makes decisions for a person who is not legally competent to make their own decisions. Typically these decisions involve medical care and where a person will live.
A conservator is required to account to the probate court annually about their financial activities on behalf of the other person
The most common are estate administration, trust administration, guardianships and conversatorships.
Estate administration involves distributing a deceased person's assets to the rightful heirs.
It also means filing a decedent's final tax return and giving creditors notice of the death.
In Michigan estates can be administered formally (with court supervision) or informally (without court supervision). Most of the time an estate can be handled using the informal procedures.
A conservator is a person who manages finances for another person. This almost always means paying the other person's bills.
A conservator is required to account to the probate court annually about their financial activities on behalf of the other person.