We can advise you much better if we know more about the property. The picture shows only an almost rectangle with a small tail without heights; supplemented by the information that the section is not exactly aligned to north, and that the street is at the bottom edge of the picture. The property apparently borders directly on the street. What does it mean then that it is two meters higher: surely not on one level, with a lifting device to reach the street (but presumably rising two meters in length?), so a hillside location. Post #11 talks about neighboring houses with integrated garages on the valley level, which you would have to align yourself with (but do not want to). The latter would probably mean a terribly long driveway almost to the back like at house no. 28b. "So far, so that's that" – I see little hope here for a catalog house at first (which auction houses always are, an offerer whom I do not recommend for other reasons even calls them "incorrigible," but means "unchangeable" by that). But otherwise, catalog houses are not suitable here without modifications, which, however, are very limited especially in the case of auction houses.
I am pretty sure that we will not go the route via an architect but will look for auction houses at companies. Simply for cost reasons. Of course, you have to make compromises there, but we don’t have any extraordinary wishes now either.
Cheaper is usually a regional solid house, i.e. a tried-and-tested standard house; they are not on offer as auction houses because nothing is prefabricated.
As a "normal family," the idea of choosing a tried-and-tested standard house / catalog house is very sensible and advisable. And Yvonne is wrong twice here: the majority of general contractors (Steiner as well as Holzer), with whom I have dealings, regularly offer auction houses; and they are not "prefabricated," but "pre-calculated." However, they are regularly planned (with or without utility basements) for flat plots; those with residential basement floors are not common. But that is exactly what you need, and ideally one that is adapted by an architect. Your actual basic model is "too small" in size and number of rooms, under which a basement used for living is included.
I only agree very limitedly with "company doesn’t matter." Your idea is presumably that you could choose from the wide range of providers and their respective auction houses. However, this is not the case, or not advisable. Indeed, most general contractors nationwide offer auction houses; usually, each promotion has two to a maximum of four models, and can quickly give you current daily prices for their auction houses of 2023 or 2022 (before that it gets thinner because only the 2016 energy saving ordinance was partially fulfilled). However, a core feature of recommended general contractors is that they are owner-managed and have a reputation to maintain in their building region. And suddenly the world has only a radius of about 30 km around the property. In many areas, that is still two dozen GCs, but clearly fewer than if you also include the big names. And with them, you then look for catalog houses in general (not limited to those from promotions), which as described are "too small." These can also be those listed in the “bungalow” category.
It is best if you fill out the questionnaire and check the Bayernatlas to tell us more about the property – is it still this one: ?