£5k eh? What will you spend yours on. Wine, women or song?

The numbers say it all, but they do not necessarily say what we want to hear.
If I were to insulate my house (wall cladding, new windows; roof insulation is already done) and amortise that cost over 30 years, it is over €4K/year. Our gas bill (purely for heating) has been round €2.5K/yr (although I imagine this will be going up).
I have radiative radiators, big fat ones with lots of ribs that spiders like to spin their webs between (I like house spiders), not the cladded ones that primarily work by convection. They love 50°. They like 30° a lot less. Not so wonderful for heat pumps.
I had thought of the following. Maintain basic temperature at or above 14° with heat pump and existing radiators. Install a PV installation with battery, and spot-heat rooms being used with Dyson-type air heaters, which can get any of the space being occupied by humans, including the 80m^3 room, up to 21° in a few minutes. Back-of-envelope calculations tell me this should work. It is carbon-neutral (if the electricity supply for the heat-pump is). And I think it might be cheaper than insulating, although price estimates fluctuate wildly.
The numbers say it all, but they do not necessarily say what we want to hear.
If I were to insulate my house (wall cladding, new windows; roof insulation is already done) and amortise that cost over 30 years, it is over €4K/year. Our gas bill (purely for heating) has been round €2.5K/yr (although I imagine this will be going up).
I have radiative radiators, big fat ones with lots of ribs that spiders like to spin their webs between (I like house spiders), not the cladded ones that primarily work by convection. They love 50°. They like 30° a lot less. Not so wonderful for heat pumps.
I had thought of the following. Maintain basic temperature at or above 14° with heat pump and existing radiators. Install a PV installation with battery, and spot-heat rooms being used with Dyson-type air heaters, which can get any of the space being occupied by humans, including the 80m^3 room, up to 21° in a few minutes. Back-of-envelope calculations tell me this should work. It is carbon-neutral (if the electricity supply for the heat-pump is). And I think it might be cheaper than insulating, although price estimates fluctuate wildly.
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