For wikis that have the Replace Text extension installed, it would be great if, at the end of a regular page move, the results screen showed text that looked like:
"To also modify links to this page in other pages, go to Special:ReplaceText."
(Where "Special:ReplaceText" was a link that pointed to the page Special:ReplaceText.)
The following hook may be helpful for this:
https://www.mediawiki.org/wiki/Manual:Hooks/SpecialMovepageAfterMove