Dear loko!
Based on the information you provided, it is not easy to fully answer the questions. Essential information needed, besides the insulation standard of the house, also includes details about the number of users and their usage behavior. This also includes, for example, whether children are planned (high hot water demand, different cold-heat perception). Since you did not provide anything specific, we assume that the house still corresponds to the standard from the 1980s.
Before a heating system is planned and designed, it must be clarified whether a renovation of the property is to take place in the near future or will be realized later due to the budget. Of course, it is fundamentally important to ensure the supply security of hot water and heat; this is certainly a high priority with a system from the 1980s. If the system can be adapted through renovation measures, investment costs for the system and energy costs can be saved.
The heating system is designed based on a heat load calculation. This calculation indicates the required capacity based on the above-mentioned conditions. To carry out a heating renovation, several funding programs (BAFA, KfW) are available; corresponding advice and calculation can be provided by an HVAC specialist with energy consultant training.
Based on the heating demand and the possible energy sources (gas, oil, solar, pellets, etc.), an economic assessment is possible.
Since a gas connection already exists, for example, only low investment costs are incurred for a gas condensing boiler system (around €7,000 - 8,000 including chimney renovation). Solar collectors can make a useful contribution to hot water preparation and heating support. For 10 sqm of living space, about 1 sqm of collector is calculated, so a required roof area of about 15 – 20 sqm with appropriate orientation must be available (issues – dormers, roof windows, etc.). In combination with a modulating gas condensing boiler system, which adapts to the actual demand, a high level of comfort is ensured even in possible extreme weather conditions in Traunstein.
Regarding the question of whether a heat pump would be possible, this much:
Here the question is whether the heat emission into the room is done via radiators. For a building from the 1980s, we assume radiators. Basically, an air-water heat pump requires low system temperatures to guarantee heating, which is not ensured in non-renovated houses without underfloor heating.
Best regards, Erik