Or, alternatively, a ground source heat pump, which merely requires the digging up of the back garden to lay at 30cm-60cm depth, curled pipework to harvest the ground temperature. To relay the patio, masonry and turf is probably around £5k alone.
Now let's say the unit can be installed.
Take a look at the pre-existing boiler. It will have a number like C24 or C30. It's the model number, but as importantly it is the heat output of the combi unit in kilowatts. For example 24, or 30 kilowatts. Our well-insulated house has a 24kW appliance.
Now take a look at the Heat Pumps. They top out at about 18Kw and cost (with a boiler substitute) around £10k.
Something is wrong with this. I'd get £5k from the government, then pay £10k for some equipment which was less heating-efficient than the equipment I'm replacing.
Add to that the labour charges, maybe it is only a few pipes around the outside of the house, plus commissioning, but I can't see it costing less than £2k, what with the two specialists who would be called in to fit it all together.
The new, greener system might then heat our house, but it will take longer and be less cosy, using the lower output from the heat pump.
And I. like many in the UK will have shelled out at least £7 or £8k for the privilege, assuming it all works, unlike the government-provisioned smart meters we have had at this house and the last one, and which never worked.