Moving Public Folders from Database to another Database

I have some Public Folder's on various databases and would like to move them (their mailbox) to a new database, would I need to use the "MoveAllReplicas.ps1" script to accomplish this task.  My example,  mailbox32 belongs to the Public Folder name HouseHold which reside on DB13  And I want to move the Public Folder Mailbox (mailbox32) to DB44.