I was thinking the PS3 only allowed one Bluetooth at a time for headsets, so you'd need to pair\unpair.
I know you said only sony, but I'm going to give a shout out for the turtle beach xp500, I use mine for 5-6 hours a day (I'm on the phone a LOT for work). It remembers 2 Bluetooth devices plus has a wired transmitter for other types of audio, and uses AA batteries, so you can swap out rechargeable for it.