I went for the Pirelli P-Zeros in the end, just two of them for now though. Going to try and eke out a few more miles on the remaining pair of Bridgestones...
They put the new ones on the front, and moved the old Bridgestones to the rear axle. The good thing is at least I know now that the TPMS doesn't care if the wheels get moved from front to back or vice-versa, so I might pay more attention to rotation in the future when I replace the remaining tyres
Can't really comment on the noise levels with just the two new tyres; it's certainly no worse and might be a little quieter than before. The "official" noise levels for the Bridgestones is 71dB, and the Pirellis are 67dB.