Firstly, thanks to the OP and all the other contributors to this thread. I have found it extremely useful as a noob to Vespa modifications.
I just wanted to add what I have done on my GTS. I realised that the only thing I would need to charge whilst riding would be my phone, which I use for SatNav or GPS speedometer. I therefore wanted a neater solution than a 12v socket which would require a USB adapter and a charging cable.
I managed to find a 12v to 5v converter with micro USB on ebay for about £3 (came from China so quite a long wait for delivery).
I hooked it up to the switched connectors on the alarm block as I won't need to charge when I'm parked.
The cable is long enough to route through the head unit and emerge through the left mirror opening. I have replaced the mirror with a RAM-type mount where my phone sits.
I'm generally very pleased with the result. The only issue I have is that when I am not using the cable, the end is exposed and I haven't been able to find a cover for it anywhere. I'm yet to see if moisture could cause any problems.
I'll add some pictures if anyone wants to have a look.