Switch 2 headphones

Hi! I got my gf an Nintendo switch 2. She somehow hooks her switch to her tv, I guess through hdmi, so she plays on the tv, not the actual handheld switch. She has a controller I bought her to do this, basically looks like an xbox controller. Are there headphones I can buy her, so that she can play from the tv? Bluetooth maybe? I don’t really know I’m a ps5 guy.