One of the big differences is an order for sole use and occupancy of the marital home does not carry any criminal penalties. It also does not have a need to be renewed after ninety (90) days.
The order for sole use and occupancy of the marital home is a little less clear in terms of what standards are to be used or what statute is to be followed. However, this is sometimes used as more of a compromise than either a restraining order or a Motion to Vacate. At worse, if someone was to violate that order there would be a Complaint for Contempt which would be civil in nature versus a criminal case.