Thank you very much. Earth augers with 150-200mm and a tamper foot are available for rent very close by.
So four holes with the 150-200mm auger, trying to "expand" these to 40x40cm, 80cm deep.
Is coarse limestone gravel and a PE sheet still required? If yes, how thick should the limestone gravel and the concrete be at 80cm depth? Steel reinforcement also for the pier foundations?
Regular screed concrete or is the concrete without mixing (ready-to-use rapid concrete), which is also available at the hardware store, also suitable?
There won't be much space between the pier foundations then. I would just remove 10-15cm of lawn and spread gravel. I didn't want to lay stones there specifically, especially since I certainly won't manage to do that neatly ;-)