Searching for a new leader for a spiritual organization is a process fraught with challenges and emotions.
Throw in the old “2 Jews, 3 opinions” axiom and synagogues are often ground zero for turmoil during times of change.
My dad successfully led a Rabbinic search in the 1980s (twice actually) and documented what he learned.
Leaving out some of the obvious technologically-dated references, there are some solid guidelines here should you ever find yourself in this position, with a desire to minimize strife, you may appreciate his wisdom.