Thinking of this as the adult section of TSM discussions, I will say that you can do what TSM will let you - which is to say, what makes sense.
For example, if a given BAckup STGpool is already in progress, it doesn't make sense for another to be accepted: attempting to start another with the same source and destination storage pools results in ANR2457E. Attempting a Move Data for a volume already in use results in ANR2420E. TSM is rather like a dog, who will function as your faithful companion, as long as you demonstrate awareness and forethought. Richard Sims