Meh
I have some cloth bags that are washable in the washing machine, I’ve even washed them with hot water and some bleach and put them in the dryer with no problems. I also have 3 reusable totes I bought from my grocery store – these in fact:

They are very durable and water repellent and washable. After coming home from the store, I put them in the shower and use a spray bottle with a bleach solution, spray them inside and out and use the shower sprayer to rinse them and then turn them upside down in the shower to dry.
This really isn’t hard.