He tries to keep his private life and public life 'separate' (from each other). = He tries to keep his private life 'separate' from his public life.
('US') He fell and 'separated' [='dislocated'] his shoulder. [=caused the bone in his shoulder to move out of its proper position]
The competition has been easy to this point, but now it gets tough and we'll really begin to 'separate the men from the boys'.
(..) - And then tomorrow... - No, man, not my house! Shut up! After we finish cleaning up this mess, we will go our separate ways. Our paths will never cross. And we will tell this to no one. Understood? What, I can talk now? Fine. (..)2008 TvShow: Breaking Bad Title: Cat's in the Bag... Season: 1 Episode 2