look after somebody/something/yourself (especially British English)
to be responsible for or to take care of somebody/something/yourself
Who's going to look after the children while you're away?
I'm looking after his affairs while he's in hospital.
Don't worry about me—I can look after myself (= I don't need any help).(= I don't need any help)
to make sure that things happen to somebody’s advantage
He's good at looking after his own interests.