app updates when Apple ID changes

Previously my mother’s email was the one associated with my phone, and the Apple ID along with it. Now, after it changed, whenever an app I got during that time needs an update it needs her email password.

I am wary to do this, as last time something like this was done it linked our phones (Texts, images, etc.) which was not fun and was a hard fix.

I’d like to know how to get these apps off her ID onto mine so I can finally update them and use them again.