It's not about backup, it's about recovery. Let's take a look at a few articles that can help you protect your TSM environment. You're backup solution is no good if you can't recovery from a disaster. These articles are based on Windows.
Working through your daily tasks should look something like this, ensuring you have an offsite copy of your primary pools.
Once you're happy with your daily tasks, schedule a test server recovery exercise every quarter. This will allow you to optimise your processes and resolve any potential stumbling blocks. The following two articles look at recovering the server.
http://ryanpartington.com/article/tsmdisaster/ - Step by step text
http://ryanpartington.com/article/tsmrecovery/ - Step by step videos (posted earlier this week)
Any comments welcome