Thanks again!     The trigger I ended up needing was OnAfterUserProfileSaved.  (I'm just putting it here to refer back to it later) 

Follow-up question before marking this topic solved.   I have forgotten, where or how to:
1. Check update logs for things like Profile changes
2. Getting emails to admins to notify them of such changes.

I seem to remember being able to do this on another site but can't remember how - It's been a while.

Follow-up question before marking this topic solved.   I have forgotten, where or how to:
1. Check update logs for things like Profile changes
2. Getting emails to admins to notify them of such changes.

I seem to remember being able to do this on another site but can't remember how - It's been a while.

Okay, I discovered that I need to install the CB Profile Update Logger plugin.   So my only question now is how do I determine who to assign as a CB Moderator?

CB Moderators are based off your Moderator View Access Level in CB > Configuration > Moderation. If someone has usergroups that qualifies them for the selected view access level then they've moderator permissions. So typically you'd make a usergroup and view access level specifically for those. 

Excellent!   I also learned that I specifically add an email address making it easy if I only need one person to get the notice.     Lots of options!

I have to say (like I have in the past).  The CB/CBSubs combo never ceases to amaze me!   The customization options keep bringing me back as the go-to option for user management.  Thanks!