The phrase "hand rocks the cradle" is a common idiom that refers to the influence that a caregiver, particularly a mother, has in a child's life. Synonyms for this expression include "guiding light," "molding force," "nurturing spirit," "influential figure," and "caretaker influence." These words all convey the idea that the person caring for a child has a tremendous impact on their development. It is important to remember that the expression "hand rocks the cradle" refers to the positive influence caregivers can have on a child, but also highlights the significance of the responsibility that comes with caring for another person.