The part I despise the most is putting them in the closet. I've tried many solutions, but I've not found any that made the job less tedious.
When I was a student, I just threw my clothes into various shelves based on the type and considered that good enough. I did not fold clothes ever. I just threw the boxers in one shelf, the socks in another, T-shirts in another, pants in another.
As an adult with a family, this won't be accepted anymore.
I had a period in which I had a dryer, but I did not find that it saved me a lot of time because the fastest way to get the laundry into the shelves and the hangers is by sorting it first. And if I had to sort it anyways, I could just sort it on the drying rack and put it on the hangers on the drying rack.
I think it's fairly hard to find solutions to fix this.
I have considered mapping out each step, and then try to identify the pain points. Then find ways to remove as much friction as possible. Kind of like how an UX designer would handle this.