This study explores a new approach to designing computing systems that support eco-friendly parenting behaviors. We address a gap in research on sustainable practices in everyday interactions with Internet-of-Things (IoT) technologies. Focusing on the unique challenges of newborn parents managing energy consumption, the research applies a Human-Centered Design (HCD) approach to develop tailored solutions. Using digital ethnography and Focus Group Interview (FGI), the study identifies key pain points and opportunities for embedding sustainability into daily parenting routines. Through iterative prototyping and user evaluations, the study creates the Eco-parenting Mode, an IoT interface featuring personalized automation, real-time energy monitoring, and hands-free control. These features enhance both usability and sustainability. The findings advance Human-Computer Interaction (HCI) and Interaction Design (IxD) by showing how IoT systems can support dynamic caregiving while preserving user agency. Practical contributions include strategies for creating context-aware, inclusive IoT platforms that promote sustainable behaviors in family environments.