I just bend mine forward, place the little ball ends in the gap where the driver backrest goes. I always cross them, left antenna to the right side and right antenna to the left. This will put a nice curve into the antennas and does no harm. It also holds the cover off the bike and helps water drain from the cover. I think if you remove your CB antenna with the allen screw it messes up your reception. I have been doing this way for 9 years not and no problems.
I appreciate the tips gentlemen - love this place.
To Hobbit's point, yep they unscrew but there is an allen screw at the base on the CB antenna, that you have to loosen before unscrewing. But yes, it does unscrew.
And to your point trickydoc - I just unscrewed and removed that CB antenna. Yet to use the CB, so wouldn't be able to tell if any worse for wear or not on reception. But like your idea.
Thank you folks. I think I have what I need - much obliged.