Generative AI (Gen-AI) is a cloud-based AI capable of generating new content with applications across numerous fields. This paper analyzes a dataset of 960 Gen-AI tools across 29 domains. To address challenges associated with Gen-AI, such as latency and data privacy, Edge-AI is employed to process data locally. This paper introduces Gen-Edge-AI, a novel human-AI guided decision-making framework that integrates Gen-AI, Edge-AI, and human expertise. By combining technology with human judgment, Gen-Edge-AI provides innovative and ethically grounded solutions. The proposed framework optimally balances the use of Gen-AI and Edge-AI through a decision matrix of routing factors in its Evaluation component. To ensure secure and private decision-making, end-to-end encryption and data masking are employed.