Single-family house ~130sqm: balancing rooms

Maybe like this?
I usually find a garden shed very attractive, as it gives the garden some structure...
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You can kind of mediate the garage/carport... a closed wall offers protection near the terrace.
However, I would also swap the kitchen and living room so that you can use the carport as a party area during summer celebrations: move the car and have a nice covered area close to the kitchen. Preferably with wooden beams connecting the carport and house.
And behind the bike shed you can store trash or compost. Every property needs a little dirty corner ;)

In BW you have to have 3 m distance between garage and street, right?

I just found that somewhere on the internet, but not in the state building code. The development plan only states that you need 5 m if you don’t have an electric gate (which I want anyway). Fragmentation is an issue, something will certainly change. If you have enough space, the carport doesn’t have to be small.

I would place the garden shed somewhere on the right between the house and the property boundary where it doesn’t bother me in front of the windows. However, I wouldn’t plan that now, but after the house is finished.

Maybe something will still change after the house is built, but I think it’s important to plan it beforehand. Especially if you store more than just the lawnmower there. If the bicycles are to go into the garden shed, it has to be near the front door, otherwise you have to walk across the garden every time. I’ll get back to the rest this evening. Lunch break is almost over ;)

I find the entire arrangement of the garage and the carport quite unfortunate. If you come on foot, you have to walk around the carport. I would place the carport on the left side, slightly extend it for the bicycles (which I would not put in the garden shed). The trailer does not necessarily need a shelter, in case it gets tight with the boundary construction. However, I would not place it directly in front of the house door, but further in the right corner.

It could be flush with the utility room. That way the house can remain as far as possible in the northeast corner. Would the missing "walk-around" on the property be a problem?

The garden house flush with the technical room has two problems:
1. The strip to the north would then be dead and would at most only be walked on for mowing the lawn. There is absolutely no reason why anyone would want to go into this dead end.
2. Boundary construction with exact attachment is also rather problematic for self-construction. Then you almost commit yourself to a specific model during construction.

Regarding the garden house in the south + prefabricated garage + attached shorter/narrower carport: This could look unkempt and messy due to the fragmentation and the many different styles.

You're right about the styles. It looks a bit wild and we need to think about it again. The garden house would probably be a log cabin with a gable roof (current favorite: House Lille at Pineca) which would still match the house, but the attached carport does not fit. Of course, a double carport with a gable roof would look quite nice and would also solve the passage problem. At most half the price of the prefabricated garage.

If you come on foot, you walk around the carport. I would put the carport on the left side, extend it a bit for the bikes (which I wouldn't put in the garden house).

I don't find walking 3 meters more that bad. Extending the carport with a bike shed might make sense for the attached one, but then the carport would of course also have a real wall and look more closed.

Yvonne’s approach is also a good point to consider. One disadvantage of swapping kitchen/living room would be that the living room would then be in the narrower room (3m instead of 4m). That in itself is not a disaster but somehow inappropriate for an open space with almost 50sqm. In the sketch, the distance between the house and the carport also seems relatively tight.

Somehow the solutions haven’t fully converged yet. I think I need to let the topic sit for 1-2 evenings and then see further. Maybe something good will come to me.

Swapping kitchen/living room would mean that the living room is then located in the narrower space (3m instead of 4m). That in itself is not a disaster, but somehow inappropriate for an open-plan room with almost 50sqm. In the sketch, the distance between the house and the carport also seems relatively tight

You have all the possibilities in the world: the house is not yet built, no building application has been submitted yet. You can still change everything.
Distance house/carport: what do you mean? Where is the problem? I have at least taken a reasonable 3 meters width and not 2...
Furthermore, the house can be moved further north, longer and narrower... then you also have the right dimensions for the living room and kitchen ;)
Draw in plants and stepping stones.
Main terrace at the corner, breakfast area by the kitchen with a gate to the carport. That would also be an ideal place for the organic waste bin :)

The narrower house is problematic on the upper floor since we moved the study room up there. Then the meter is somewhat missing.
Kitchen exchange was not popular with the government, but placing the carport in front of the living room wasn’t either ;)

Accordingly, I have been playing around a bit in the past few days and have a new proposal. It pushes the house in the north completely to the boundary line (2.5m in BW) but centered on the property. This leaves enough space to build a 5x4 garden shed in the back without squeezing. The garage-carport combination is replaced by a double carport 6x5m to not exceed the boundary length. Behind the carport, the trailer will be placed on gravel, lawn stones, or similar, and in front of it, a small hedge. The carport also disappears relatively well in the blind spot behind the living room corner and if you don’t want to see it anymore, there is still the option to plant a hedge in front.
For guests, this results in 1-2 parking spaces in the driveway in front of the carport.

All buildings are planned with pitched roofs (ridge directions drawn with dashed lines) so everything looks nicely uniform. For the carport, I have already found a kit that is also sold with roof tiles (Prikker), so weight should not be a problem. The consideration would, of course, be to order the same tiles as for the house. For the garden shed, I still need to find out whether one can meet the roof load requirements with tiles as well.

Overall, I think that with this solution, we still leave a decent garden but everything looks much more spacious. And it’s cheaper than the fun with the garage, although half of that will be spent on bushes again ;)