Per-room TRVs; the cheapest credible route.
Smart thermostatic radiator valves from Tado, Drayton Wiser, Honeywell evohome or Hive cost roughly sixty to ninety pounds per radiator, need no plumbing changes and can be configured in an evening. A whole-house retrofit typically lands between six hundred and twelve hundred pounds and saves around fifteen to twenty-five per cent on heating in a house that was previously running on a single hallway thermostat.