@Penny Interesting! What of other natural fibres, such as cotton and linen? They'd need consider the volume and weight of clothes launched into Space of course; and the volume once out there.

@ArishMell Tide is working with NASA on a solution. It will be tested on missions, starting May of next year. Essentially, it's pretty similar to one of those Tide Pens they sell for general consumption.

While this may solve the laundry problem, you still have the hygiene issue, as in no showers.

@Northwest Well, I hope it works! Personal hygiene though will be a lot harder to solve, I imagine.