There is no compatibility issue with the BD player. Anyone will work fine.
Connect the new player to the TV with HDMI.
Connect the headphone out of the TV to the Yamaha receiver. You will need a cable with a 3.5mm stereo plug at the TV end and 2 RCA plugs for the Aux input of the receiver.
You will need to make sure that the volume set with the TV remote is not so high that it will overload the input of the receiver. If it does overload you will hear distortion that only goes away when you turn down the volume with the TV remote not the receiver remote.
Use the receiver remote for volume control and use the TV remote only for other functions. If the TV has a setting to make the headphone out fixed level that would be best.