I moved mid-October, sent my PPL change of address form, but have still yet to hear anything back (but the aircraft Registration Certificate & Radio License both came back within a few days).
When I've done it before I've just sent SRG/PLD an email, and within a couple of days my new license arrived ready for me to sign. This time I see they've formalised the process with a Change of Address form, so used that - so much for progress and streamlined bureaucracy...they'll be charging for the service (as well as EASA) next...