How come my living room and bedroom TV are not in sync?
Different tv's will almost always be off sync. with each other. The circuitry in televisions is different in brands, models, and will aways vary in when video and audio are seen by you. The getting the signal, over the air, cable, or satellite, will also cause variation.
The only time you notice it would be if you are watching the same channel with tv's side by side. I have two televisions set up that way. Normally we would be watching two different channels.