It looks like the first priority is actually insulation - the wood framing inside walls apparently has an R value of one, and there's currently just air in between them in my place. So getting insulation pumped into the gaps should make a significant difference to the inside temperature.
The stuff in the ceiling isn't completely terrible, but it's laid badly and there's plenty of gaps. So probably it'll end up with a second layer over the top, at right angles to minimise thermal holes.