ᐅ Curved plot, single-family house 50 m², slope site, garage optimization

Hello dear forum members,
as future homeowners, we kindly ask for your support in planning our house.

Development Plan / Restrictions
Plot size -> 597 m² (6425 ft²)
Slope -> yes (approximate gradient: 3.7 meters (12 ft) at the long end / 2.9 meters (9.5 ft) at the short end) according to attachment
(after 8 meters (26 ft) – possible house start – approx. 80 cm (31 inches) / after 17 meters (56 ft) approx. 1.8 meters (5.9 ft))
Site coverage ratio -> see attachment
Floor area ratio -> see attachment
Building window, building line and boundary -> see attachment
Edge development -> see attachment
Number of parking spaces -> 2
Parking space/garage -> can be planned outside the building window
Number of storeys -> 1.5
Roof type -> gable roof
Style -> classic
Roof pitch 38 to 52 degrees
Orientation -> garden facing south / west
Maximum height / limits -> 8 meters (26 ft) ridge height
Knee wall height -> 1 meter (3.3 ft)

Homeowners’ Requirements
Style, roof type, building type -> single-family house in timber frame construction with a gable roof (40 degrees) and bay window / corner bay or projecting corner bay with flat roof
Basement, floors -> yes (utility basement / habitable basement still undecided. We hope for input)
Number of residents, age -> 3 to 4 people – young family
Space requirements on ground floor and upper floor -> house with approx. 150/160 m² (1615 / 1720 ft²) usable floor area (approx. 80 m² (860 ft²) living space on ground floor / 50–60 m² (540–650 ft²) living space on upper floor depending on knee wall height)
Office: family use or home office? -> rarely or never used as home office / possibly later converted into a bedroom
Guest stays per year -> few, so no classic guest room planned
Open or closed architecture -> open architecture
Conservative or modern construction -> conservative with one or two style elements (bay window / corner bay / conservatory) desired
Open kitchen, kitchen island -> open kitchen
Number of dining seats -> 4-6
Fireplace -> no
Music / stereo wall -> undecided
Balcony, roof terrace -> rather no
Garage, carport -> garage and carport (challenge here: we don’t know how best to position these so the house can be placed as far forward as possible to maximize garden area).
Utility garden, greenhouse -> utility garden
Other wishes / special features / daily routine, including reasons why certain things should or should not be included
House type: KfW 40 Plus

House design
Who prepared the plan:
- Planner of a construction company -> building company
- Architect -> we now want to commission one separately because we are not making progress
- Do-it-yourself -> the floor plan basically already reflects our wishes and ideas and was created based on our input

Estimated price according to architect/planner: approx. 420,000 €
Personal price limit for the house, including equipment: 460,000 €
Preferred heating technology: air-to-water heat pump

If you had to give up something, which details/extensions could you do without?
- can do without: double garage / combined parking space
- cannot do without: everything else

Why did the design end up like it is now? For example:

As is often the case, homeowners usually start from scratch. We initially visited prefabricated house parks and then looked into offers from various providers. Since there was basic agreement with some house types, we requested quotes. The floor plan itself was developed based on model house visits and our ideas and wishes. We can basically imagine living like this. But of course, there are other opinions and room for optimization. Since the planning, to quote common expressions, has been done or would be done by “draftsmen,” and we simply have not yet received an ideal answer to our questions, we are now looking for your advice.

What is the most important / fundamental question about the floor plan in 130 characters?

How can we position the garage and carport so that the house, approximately 10 meters (33 ft) wide and with the desired floor plan, can be placed as far forward toward the street as possible? Our goal is to maximize the garden space at the back. Or are we stuck on the garage, or should the house look different to allow moving it forward?
We have already asked the municipality whether it is possible to rotate the garage and place the driveway differently (see attachment). According to their preliminary check, there are currently no objections. However, I am somewhat skeptical (keyword: turning radius). It is a cul-de-sac with a 30 km/h (20 mph) speed limit.
Furthermore, we are still considering whether it makes sense, given the sloping site, to build a habitable basement or invest capital in it. Renting it out is not planned, but it may be used for the children later or as a recreational basement.

We would be very grateful for suggestions and tips.