Bluetooth audio reciever + Analog input switch

It's not clear what you are proposing. Are these speakers built into the TV? If so, the TV will have to be switched on, so you might as well use its phono inputs, if it has them.

If these are separate speakers, are they active or passive? Are they connected to an amplifier? Does that have phono inputs?

I'm sorry for not being clear.

The speakers are external and they are connected to an amplifier. My idea was making the switch before the amplifier, on the input audio line. The amplifier only has a jack input, it doesn't have phono inputs.

You seem to be suggesting using analog switches. This can only be done with line-level signals. If the signals are amplified, it could be done with relays.

I want to do it with the audio output of the tv and the output of the bluetooth reciever, so I gess that it's line-level, but I'm not sure.

Most types of Arduino cannot deal with bluetooth audio data. They are not fast enough.

Okay, just wanted to be sure. Then I gess I'll go with the RN-52.