Make:

The problem with connecting your wireless headphones to larger speakers is they just won't have the power; your headphones can power speakers probably less than an inch in diameter, not more. You could connect the output to an amp inside your speaker globe, but either way you'll need a wire coming out either to power the amp or provide the already amplified signal to the speakers.

One thing that might work would be hacking the wireless headset into a boom box so the signal runs past the little battery powered amp in there. That way you can be certain your amp matches your speakers and you can have the whole shebang contained inside the ball.

But couldn't you just add extra power like batteries to the wireless heaphones?

"I have a pair of Logitech FreePulse Wireless Headphones and it comes with a tiny headset and a module which connects to the headphone jack of your iPod or Zune which syncs with the headset via Bluetooth! I was thinking maybe take apart the headset and just reconnect the receiver to 2 big speakers like the one from the salad bowl and then keep the module intact."

You are getting closer! The best option at this point would be to get a pair of cheap computer speakers that use a wall-wart as a power supply. Lets say you have a pair of old dell speakers lying around. Plug that in to your module, and see if you get sound.

Now you need to create a battery pack that is the same voltage output as the wall-wart. Once you get this pack together, cut the wall wart cord in half and connect it to the speakers and the battery pack. Bam! Wireless headphones!

The pc speakers have a built-in amplifier that will take the sound and step it up to a better volume. If you just used the speakers, you would have the same volume level as a pair of headphones (if not less). Since there is an amplifier, you will be able to hear the music.