fall over (oneself) to (do something)

To expend an inordinate amount of energy or effort to do something, especially as a means of gaining attention or approval. John is such a teacher's pet, falling over himself to impress Mrs. Smith. My parents fell over themselves to try to seem cool to my friends. It was pretty embarrassing, to be honest. When the CEO comes down to our department, the expectation is that we fall over ourselves to keep him happy.

fall ˈover yourself to do something

(informal) do everything you can for somebody because you want to please and impress them: After he became manager, people were suddenly falling over themselves to help him.

fall over yourself to do something

fall over (oneself) to (do something)

fall ˈover yourself to do something