Hey Mike,
In most cases, the links to member templates should be written like
{path='member/profile'}
or have some other unique syntax, so that when you search and replace, if you search for
{path='member/profile'}
and replace with
{path='NEW_TRIGGER/profile'}
it’ll only replace the word member in those instances, instead of every word of member on the site. That way you can be assured only that path is being updated.
As Alex mentions, if you’re worried about breaking something to the point of not being able to easily fix it, a DB backup before hand wouldn’t hurt.
Let me know how it goes.
Thanks!