In this article, we explore medical doctors’ moral experiences of being responsible for decisions on the lives and sometimes deaths of infants in a Danish Neonatal Intensive Care Unit (NICU). Drawing on fieldwork, we investigate how clinicians navigate the tension between exercising medical authority and enabling parental involvement in decisions. Introducing the term “careography”, we call attention to how the doctors steer this tension through care for the infant, parents, colleagues, and society in ways that help them overcome moral ambivalences. We suggest that “careography” holds analytical potential to bridge anthropological theories of power, experience, and care.