Have you heard of cord-cutting?
Yes actually I am a cord cutter myself. I have been cancelling subscriptions to multichannel television. 
I would love to try it, but I'm not sure my family would be ok with it.  
You should try to show them that a number of purely internet television services are being offered at a much lower price. 
So does cord-cutting mean all paid for subscriptions, or completely turning off the tv?
It just means dropping pay television channels or reducing the number of hours of subscription TV. There are different levels of cord cutting!