For securely managing sessions in a Java web service, certain best practices should be followed and common tools should be used. It is important to use HTTPS for all communication between the client and the server, and set the secure flag on the session cookie. A strong and random algorithm should be used to generate the session ID, which should be stored in a secure and encrypted database or cache. Additionally, a new session ID should be generated after authentication, and the old one should be invalidated to prevent session fixation attacks. Moreover, a reasonable session timeout policy should be set, expiring the session after a period of inactivity or logout. The session data should also be protected from unauthorized access and modification by using encryption, hashing, digital signatures, or other methods. In terms of tools, Java Servlet API is the standard API for creating and managing sessions in Java web services; Spring Security is a popular framework for implementing security features; and Apache Shiro is another framework for implementing security features.