Hydrogen is very inefficient for domestic heating when electricity can be used directly.
Hydrogen is made from electricity and only 80% of the energy of the electricity is transformed into hydrogen, the rest is used to power the process. This means that heating your house will cost at least 20% more than using electricity and given that there will be a whole lot of costs associated with building the plant to undertake the process, storage facilities, staff etc, at its cheapest, hydrogen will probably be at the very least 50% more expensive than electricity.
The simplest, cheapest and most energy efficient way to heat not just houses,but many other buildings is to replace the gas boilers with an electric boiler or other all elelctric heating system..
At the moment this is very expensive, but as gas is phased out, the comparison will not be with gas but with hydrogen and as hydrogen will cost a lot more than electricity, electricity, no matter how expensive compared with now will be the cheapest and most energy efficient fuel to use.
Heat pumps will only be effective in new builds. For the majority of housing stock, that built before 2000, and especially that built in the earlier years of the 20th century and the 19th century and earlier, then increasing your insulation, dry lining internal walls, making sure roof spaces have maximum insulation and that windows are triple glazed and draft free then replacing the gas boiler with an electric boiler will be by far the best option.
Leave hydrogen for where there, so far, seems no alternative, transport and some industrial uses.