This costs me 100e per month.
I'm investing in a full electric ground source heat pump. Which cost me 20k. An alternative is a air heatpump which is around 8k, but with a lower scop.
Let's assume a scop of 5 (air-air) which is conservative. The amount of energy required for heating / showering / cooking was 750 * 9.27 = 6952.5 kWh. Dividing this by the scop of 5 means I require 1390.5 kWh to replace gas. This means I still have excess of solar kWh.
For now I can use the grid as a battery. This means I have no electricity costs - I actually get 20e per month after taxes.
So for 8k I have nullified my gas and electric bill. This means a payback period of 5.5 years (8000/120/12) or a yield of 18% (120/8000 * 100*12) per year.
So it isn't required to have tens of thousands to invest and you get a positive yield (depending the tax climate) even with current gas prices.
The 20k ground source heat pump looks a bit different. But I like that it is quiet and it can cool in summer for less energy that an air-air one.*