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We are also happy to search ourselves if you provide the municipality and development plan designation.
I also thought: bungalow with a basement underneath. But I want to hear experiences about what is more cost-effective: partial/living basement or pure utility basement and larger house footprint.
As said, in the specific case, partial basement is economically nonsense. So a full basement with a connecting room in the slope and storage rooms for you, possibly also a guest room and a utility room; the excess valley-side basement area would be, given its location, a living basement – suitable for a granny flat. So pick a catalog bungalow that would satisfy your needs "on a slab" except for the storage room and build a utility and living basement underneath. The option "only utility basement, but smaller" is not up for discussion here, the slope has decided that. So you basically have to build a full basement and have the choice to use the unused area as a granny flat (additional effort: living basement standard for these rooms, parking space for the second dwelling) or as extra utility basement. Of course, instead of a granny flat, you can also rent out storage rooms, which then do not require a parking space.