With an external receiver there should be only one thing plugged into your TV. The receiver itself. All other inputs should be going into the receiver.
Plug all the external devices into the receiver, plug your receiver into the HDMI input with ARC. Assuming CEC is activated on all devices your box should do the switching on its own.
If atmos isn't needed then a 385 is the most cost friendly model as far as Yamahas go.
Really, just about anything X81 and above will be 100% up to spec with current standards. The only major differences between the 81, 83, and 85s is of unit size and that the 385 runs entirely on banana inputs.
A: Your receiver is ten years old, If you have a 4k tv or a 4k streaming box, or a UHD player, it won't work with your receiver properly anyway because of a copy protection codec Yamaha didn't properly implement until the X81 series four years ago. This is why soooooo many receivers have been...