Hi @Exchange_Newbie ,
To my understanding, this looks like a generic requirement. Please let us know the below,
1.If you are looking to reduce mailbox size for some users or all?
2.Is it due to any storage constraint?
3.Any new changes on the mailbox quota limits?
You can reduce the mailbox size using the below options,
1.Export user mailbox to PST either via Exchange management shell or console and attach it to the users outlook
2.Enable In-Place Archive and apply retention policies to move items from primary mailbox to archive mailbox
In the second method, you might have to create an Archive Database and host all the archive mailboxes. You can also Quota limits to this database.
Ideally, changing the Quota limits (reducing) before checking the user mailboxes can cause issues with send/receive emails, mailbox connectivity issues if the mailboxes already crossed the limit you are going to set.
If the above suggestion helps, please click on "Accept Answer" and upvote it.