Definition
to undertake numerous tasks for another person, particularly when they are capable of managing them independently
照顾（本应自理的人）
She is always running around after him, attending to his every need.
她总是围着他转，满足他的每一个需求。
I don't want to run around after you anymore; you should learn to be independent.
我不想再为你忙前忙后了；你应该学会独立。
He is used to delegating all the work to me, but I don't want to keep running around after him.
他习惯把所有工作都交给我，但我不想再围着他转了。