Does it matter if you are the one to destroy them? Or can your teammates'/enemies' fire shoot them as well? Because especially in the station half of them get destroyed.. I'm about to do it now so I guess I'll answer my own question :P
EDIT: No, you do not have to be the one to destroy the TV. When the studio was clear I ran through and made sure I got them all (obviously), and some of the ones that were destroyed I know I did not do. So as long as every TV is broken, it doesn't matter if you personally broke it.