Wireless/bluetooth headphones

Most people seem to start with there specs, so here I go. I have a 3 month old baby (the girl model, my wife Theresa is the manufacturer), I also have a Vizio M422i-B1 smart tv. We want to both watch tv when she's asleep with wireless headphones connected to the tv. We only use Hulu and Netflix tv apps and sometimes a chromecast. What are my options? Bluetooth? Can I pair 2 bluetooth headphones with 1 bluetooth transmitter? If so, what transmitter? I was thinking the Jabra Move if this can work. Do I need some other wireless signal headphones? I was hoping the same headphones could be used with my phone wirelessly though (this is secondary)... Please lead me in the right direction... I am new to wireless headphones...