The latest update for the Nintendo Switch allows you to connect you Bluetooth headphones. It is amazing. Finally you don't need an adapter. Update 14.0 allows you to connect in the settings. Here is how to do it and here are the best headphones to play with.
JBL LIVE 500BT
https://amzn.to/3hKlaRs
Nintendo Switch - Animal Crossing: New Horizons Edition
https://amzn.to/3ExNgJE
New Bee Headphone Stand Headset
https://amzn.to/2Z8zMDQ