Taking care of the miter and pastoral staff can be an interesting job.
The Bishop should hand off the staff and remove the miter before he venerates the altar.
He will receive the miter back after the Collect (before the Liturgy of the Word starts).
He will removed the miter when the chant before the Gospel begins, after he blesses the deacon or the priest. He will receive the staff after he traces the sign of the cross on his forehead lips and chest.
He may use the staff for he homily or he may put it aside.
He will remove the miter for the profession of faith.
He will wear the miter for the preparation of the altar, then remove it for the offertory. He will remove the zucchetto after the Prayer over the Offerings.
He puts the zucchetto on after Communion is complete. He puts the miter back on and receives the staff for the blessing at the end of Mass.
This is the proper what of doing it according to the liturgical books. However, each bishop is different in how closely they follow this, and the reasons for that vary.
Also, you didn’t mention if there will be a Solemn Entrance or a Simple Entrance.