布ナプキンを洗濯すると手が汚れるイメージがあるのですが…

I have the impression that when I wash cloth napkins, my hands get dirty...

If you use Linenna's detergent, you can simply soak it and put it in the washing machine along with the dirty bucket of water, so you can wash your clothes without having to come into direct contact with menstrual blood.

This article explains in detail the correct way to wash cloth napkins using Linenna detergent. https://rinenna.jp/articles/1179/