The domain is with 123reg IIRC, the web hosting is with GD.
The issue is just mostly anyone having the time to take it on; I'm already doing the majority of the admin and I'm currently totally pushed to my limits, CG is Head of Staff but has a real job etc which is time consuming, and Son of the King (tech staffer) is quite inactive at the moment for similar reasons. If we had the staff time to do it, sure, but certainly it's not something I can currently commit to myself and the other relevant people seem to be in worse states for work than I am if anything.