Requirements Management Best Practices

I work for a large company with many way of working regarding requirements management process (requirement gathering/management). We use many tools, for gathering, managing and testing requirements (Reqtify, Quality Center V9.2, Excel, word…)
I would like to hear how others perform their requirements management. I would appreciate any information about how you gather requirements, how they are maintained & tracked, how they relate to the project development lifecycle, and any tools you might use for requirements management