Rotating Ministering Districts

In consultation with my Stake President, we thought it would be useful to rotate the quorum presidency member assigned to interview each ministering district. Is there a way to do that without destroying all the companionships and assignments? Also, if we just wanted to move one companionship to another district and keep it in tact?

Yes, that is easy to do:
1. Go to the Ministering assignments page and click on the 3 dots next to the district #
2. Select Edit
3. Click the down arrow next to the presidency member and select a new presidency member
4. Save