I have never managed the nerve to completely out myself on LinkedIn, so I have this weird collection of people who know me under different names and genders and pronouns, and I think many might even know me under two different contexts and not realize I'm the same person. If I update it everyone who knows me -now- will find out a bunch about me from -then-, and everyone who knew me -then- is going to learn a lot about me -now-.
There's no real guidebooks on how to approach this from a business professional standpoint.