Hello Seb79
Basically, the heat pump can be operated with regular household electricity, but the use of the special heat pump tariff is still recommended.
Considering the fact that the photovoltaic system only generates electricity during the day, which cannot or can only be stored with difficulty, but the greatest consumption (lighting, television, etc.) occurs at night, it makes sense to feed all the generated electricity into the grid. You receive the high feed-in tariff from the energy supplier and buy the cheaper grid electricity instead.
Overall, an energy consultant or a specialist engineer should be consulted in the overall design to economically evaluate the cost-benefit aspect. It is quite possible that they will come to completely different conclusions and the concept for a Kfw 70 will look entirely different. In addition to renewable energies, fossil energy sources such as gas can also play a role in this.
During the concept phase, the user (you), the architect, and the specialist engineer/energy consultant should come together (keyword: integrated planning). The installation of a solar collector system for water heating and heating support may also be of interest. There are already roof areas that consist entirely of solar and photovoltaic surfaces, in which roof windows can also be integrated. This can then save the roof covering, and it also looks better aesthetically.
Best regards
Erik