Properly setting the air-to-water heat pump with underfloor heating

Why should 800kWh for November and December be too much? What do you expect from your heat pump?

October and November and the first two weeks of December. It's only been a bit cold for a week...

0.6 is very high, try 0.2. Electricity consumption for 135sqm is also significantly increased. There is still room for improvement.

First to 0.2 or first all limits off?

Hmm then it would heat up a lot?

I understood the hydraulic balancing like this: you first turn all the thermostats fully open or remove them completely and also fully open the valves on the heating circuit distributor. Then the valves on the heating circuit distributor are manually slowly turned back until the desired temperature is reached. If it gets colder or warmer outside, the air-to-water heat pump automatically adjusts via the outdoor sensor. Once properly set, you don't need individual room control, which is pointless anyway due to the air-to-water heat pump and the underfloor heating because of the system's inertia. The whole thing has the advantage that load changes on the air-to-water heat pump are minimized (better operating behavior). This leads to lower electricity consumption and reduces wear.

October and November and the first two weeks of December. It's only been a bit cold for a week...

Roughly estimated: Your house needs 9000 kWh HEAT per year, with a COP of 3.0 to 3.5 that is about 2500 to 3000 kWh of electricity. Heating runs until March/April. So your 800 kWh of electricity so far actually fits the picture, or am I mistaken?

I don't think the electricity consumption is all that bad. On average throughout the year, you could end up with heating costs of 50-70€ per month.

and also fully open the valves in the heating circuit distributor. Afterwards, the valves in the heating circuit distributor are manually turned back slowly to a certain extent,

That is overdoing it. A rough hydraulic balancing should be performed on the HCD and under no circumstances should everything be fully opened. Because then everything gets mixed up and the adjustment will take weeks and months. The valves on the HCD should be roughly set according to the calculation (the better the calculation, the less work). The actuators either completely off or de-energized open. Then fine adjustments for the flow can be made on the valves.

I don't believe that anything was calculated here. Nothing has been set up so far either.