Long answer but might give you some idea and possibly debunk the idea that heat pumps are never any good.
Your stating point is probably a proper heat loss calculation. Your current energy usage should cross check broadly to this.
We recently (Apr 2022) moved into our new self-build which is a 2 storey house with 213 sq.m. heated area. Our energy certificate is B (84). From memory our heat loss calculation was about 6.5kW.
We have an 11kW Mitsubishi Ecodan air source heat pump with the pre-plumbed 300 litre hot water cylinder.
In the 12 months to the end of October (yesterday) our total electricity usage was 8,825kWh, cost before support payments was £2,595.
We only use electricity.We keep our living space and bathrooms at about 22C, bedrooms 19-20.
From June-Sept the heating was off. During that period we used c. 400kWh per month, so I can infer that over the year about 4,800kWh of our usage was not for heating. Therefore our heating cost for a year has been 4,025kWh costing pro rata about £1,200. The heat pump still runs in summer for hot water, I reckon it uses 2-3kWh per day for that.
The new build replaced a draughty 1951 bungalow with about half the heated area. I looked up our old bills and in 2017 or 18, I can’t remember which, we had used 7,000kWh of electric and 27,000kWh of gas. (My wife liked using the conservatory in the winter where she used direct electric heat. The rest of the house was heated by the Potterton boiler built into the gas Rayburn). 34,000kWh to <9,000Kwh and a house double the size? I’m happy with that.
For completeness we also have a Vent-Axia MVHR (mechanical ventilation with heat recovery) unit which pushes filtered air into the rooms we live in, and extracts it from the kitchen, utility room, and bathrooms, via ceiling vents. It recovers c. 90% of the heat from the exhausted air. It moves a houseful of air about every 2.5 hours, practically silently - I can hear it in places in the dead of night. It manages humidity very well, any bathroom condensation disappears in less than half an hour without using a noisy extractor.
We have a decent level of sealing. There are no window vents or airbricks, so no draughts. We have a back-up solid fuel stove which has its own piped external air supply so doesn’t need a hole in the wall (and doesn’t unbalance the MVHR)
Space heating is underfloor both upstairs and downstairs. Heating (except when off for the summer) runs 24/7 as need.
A point to note is that a properly sized heat pump does not have the same capacity to bring a house up to temperature as an average gas boiler. Our 11kW (we could probably have got away with 8kW) basically balances our heat loss. OTOH an average gas boiler in a 3 bed semi with half the area will typically have a 30kW boiler. So turning off the heating while the occupiers are at work and reheating it from say 4pm is quite doable. I can’t do that. When cooler weather was forecast in early October, I put the heating on a couple of days before. It will stay on until next May.
Retro-fit is another ball game. My flow temperature is typically low 30s. The floors don’t feel warm (they aren’t clap cold either) because the circulating fluid is below blood temperature. It works because, in effect, we have very large radiators, being the floor area.
You would probably use flow temps of maximum 50C with a radiators, so if you are coming from gas or oil with a boiler temp of 60-70, you’ll probably need bigger radiators in some rooms. The higher flow temps will still hurt efficiency. If the system is old, pipework might be inadequate.
I realise this is not your situation but some things are common. Insulation, to make the heat loss manageable, and sealing, for the same reason.
Edit: I should have said we have no solar PV/battery. Three reasons for that, I didn’t know that electricity was going to be 35p per unit, the only place sensibly to put it is the front roof, so unattractive, and we are unlikely to live here (or maybe just live) long enough to make a profit on it. But, long term, it is obviously now a good idea.