This research article explores the potential of Artificial Intelligence (AI) and Chat Generative Pre-trained Transformers (ChatGPT) in revolutionizing the landscape of parental support and child care. With the advancement of generative AI, conversational agent technology, and Large Language Models, these tools can be a great support for parents to guide and assist their children. Recognizing the challenges faced by parents in navigating the complexities of child-rearing, this study seeks to explore the applications of AI, particularly leveraging the capabilities of ChatGPT, to provide valuable assistance and guidance. For this purpose, we perform a comprehensive examination of the existing 27 literature studies to investigate the potential of AI-driven platforms for offering advice tailored to the individual needs of the parents. We break down these research works into three domains based on their research criteria, and categorize each domain into two subgroups: pre-chatGPT era, and post-chatGPT era. At last, we investigate the significant dimensions of these literatures and present some valuable findings and future research directions.