If we're traveling for a few weeks, we usually take our clothes to a laundry facility every week. However, I do try to wash out underwear, socks, dish towels, T-shirts and tank tops every night and hang them up to dry on our camping clothesline that is strung up between two trees. We keep the clothesline, the clothes pins and some packets of laundry soap in the storage area under the bed, but I will sometimes just wash with Dr. Bronner's soap or even just biodegradable dish soap. Washing usually takes place with water from a spigot or even a river or stream in our regular dishwashing containers. We dump our used water in a campground toilet or a utility sink and never on the ground.
This inexpensive clothesline allows you to hang up clothes without the use of pins. Just shove the edges of the clothes into the twisted sections of the bungee.
Since we usually camp in the desert, high desert or the mountains of the West, our clothes dry quickly in the sun and wind, so we can take them down and wear them again in just a few hours. Unlike some hyper-controlled or HOA areas where people live, it doesn't seem to be much of a faux pas to hang your clothes up outside on a clothesline at a campground. We have yet to run into a campground that doesn't let you hang up your clothes to dry.
If we ever need to dry some clothes while on the road (like our swimsuits after bathing in a hot spring), we leave the clothes on the teardrop trailer bed and then drive with the teardrop windows up, letting the wind and sun come in through the screens as we tow the trailer down the road.
* Several Tiny Yellow Teardrop readers responded to this post with some ingenious ideas for washing clothes on the road. Thank you NetDep and AnetaCuse!
The Wonder Wash is a little bit larger than the POD, but I have seen it being used by many tiny house dwellers. It may be too unwieldy for teardrop camping, but could work for people who camp in larger trailers.