Hello Sonny, hello everyone,
I can only say, such a laundry chute is a great thing and it is not expensive at all.
The best way is if the floor plans of the house are designed so that the upper end of the chute is in the bathroom and the lower end is in the utility room. That means these rooms should be one above the other. This way, the laundry basket in the bathroom can be omitted and the dirty laundry ends up directly in a basket next to the washing machine. At my home, a normal KG pipe with a diameter of 400mm serves as the chute, but probably 300mm would also be enough. For the top cover, I have cut a wooden lid to fit and screwed on a metal handle, so very simple.
What matters is that everyone throws their dirty laundry into it and does not leave it lying around. But that is purely a matter of upbringing.
Best regards from the Osnabrück region