My social media strategy:
1. Put up some very tame, mild, accounts under my real name that only have info about my professional/academic interests, things that would make me look good to employers/adcoms. It gives them something to find when they look and you have control over it. These should be the same across sites.
2. For most of my actual social media activities, use handles that are not the same as my real name and don't prominently feature my face or identifying info. Make sure these are not the same name from one social media site to another.
Like, if my name was Dr. Leo Marvin, I'd have a twitter
@DrLeoMarvin and a facebook under "Dr Leo Marvin" both linked to my LinkedIn profile. I'd post pictures of myself rescuing baby bunnies and returning library books on time on these accounts, follow/add a few of my most clean-cut friends, plus Atul Gawande and President Obama, and retweet vague inspirational grapics about believing in people and God having a plan for everyone. My profile pic would be my college graduation photo or a picture of me donating blood or something.
Then I'd log out of those and rarely update them, instead doing my actual social media interactions as @iMaStoOpiDgUy on Twitter an Dame Frau Madame Silly Pants, ESQ. on Facebook, and my avatar would be a cat with a waffle on its head. Then I'd be free to retweet Chuck Tingle to my heart's content with those.