The integration of medical care and elderly care is a new approach that combines the provision of healthcare services and elderly care services, enabling their development through integration. However, some issues have emerged during its implementation, including poor nursing services’ quality and the relatively low health management standards. This paper aims at investigating how advanced algorithms, big data technology, and cloud computing can be integrated and used in nursing information platforms under the condition of healthcare and elderly care service requirements. Decision tree algorithms and association rule algorithms will be used for mining the relationship data about nursing services associated with various factors in order to establish a nursing information platform suitable for the elderly’s health management needs. Based on the sample data provided by 36,981 elderly people in District A of a city, four factors affecting the required nursing time were discovered: the ability for independent living, health state, living conditions, and the residential form. With the help of the designed nursing information platform, participants obtained the result scores ranging from 76 to 88 in terms of mental, physical, and social environments.