ᐅ Hybrid gas/air-to-water heat pump or gas with power-to-heat

What is the smarter choice?
A 9.9 kWp photovoltaic system is planned. How can its energy be used more economically and sustainably for heating?

Option 1) Hybrid heating with gas and air-to-water heat pump (quote approx. 18,500 euros)
Option 2) Gas heating with power-to-heat (quote approx. 10,000 euros)

Experiences and advice are welcome!
Thanks and regards

Just a heat pump?

hoeckel schrieb:

Just a heat pump only?

+1

Gas + heat pump + photovoltaic is not economically viable.

If then gas + fuel cell.
Or preferably simple, meaning heat pump (for a "standard" single-family house without a pool...).

Lumpi_LE schrieb:

Gas + heat pump + photovoltaic system is quite uneconomical from a financial perspective.

Could you explain that? Until now, I thought it would be more economical than just an air-to-water heat pump, where we need to buy a lot of electricity in winter, or just gas heating, where we wouldn’t be able to use our own electricity for heating at all. So my logic was: before feeding excess electricity back into the grid, it could support the heating during transitional seasons or at least provide hot water in summer. In winter, however, the photovoltaic system would never be sufficient and would cause significantly higher costs than a gas boiler. You all seem quite certain that this doesn’t make sense, so where is my thinking mistake? ;-)

Thanks also for the other replies! A few explanations or reasons would still help me a lot. ;-) About the house: it is large, has radiators, and is only moderately insulated.