Conversational Health Agents (CHAs) are interactive systems designed to enhance personal healthcare services by engaging in empathetic conversations and processing multimodal data. While current CHAs, especially those utilizing Large Language Models (LLMs), primarily focus on conversation, they often lack comprehensive agent capabilities. This includes the ability to access personal user health data from wearables, 24/7 data collection sources, and electronic health records, as well as integrating the latest published health insights and connecting with established multimodal data analysis tools. We are developing a framework to empower CHAs by equipping them with critical thinking, knowledge acquisition, and problem-solving abilities. Our CHA platform, powered by LLMs, seamlessly integrates healthcare tools, enables multilingual and multimodal conversations, and interfaces with a variety of user data analysis tools. We illustrate its proficiency in handling complex healthcare tasks, such as stress level estimation, showcasing the agent's cognitive and operational capabilities.