Welcome to the first day of the Cloth Wipe Challenge! I hope you've got your cloth wipes stacked and ready to go. This should turn out to be a real easy challenge for you once you get into it if you are doing cloth wipes for #1.
If you are being more adventurous and getting busy with cloth wipes and #2, then it should be no more difficult than storing and washing cloth diapers. Actually, it's a ton easier than cloth diapers because you are neither peeing nor pooping directly into the cloth wipe. You are just, well, wiping.
If you are just now reading about this and want to know more, check out all the last posts on the topic about the basics and how to set up. For a real easy intro to cloth wipes that will cost you nothing and should relieve most of your squeamishness (for #1 at least), just take an old t-shirt and rip it into squares. Store the used wipes in whatever container you have lying about. Even an old large plastic tub with holes poked in the lid for air circulation will do, although I prefer a mesh bag of some kind.
Then wash the wipes with your other stuff whenever you get around to it. We've gone a few weeks in between washings without any smell or other issues. Remember, you are not peeing on them, just wiping so there's very little, if any, moisture left while they are "waiting" to be washed.
One of my readers sent me a rather well thought out email the other day asking if it really is more environmentally friendly to use cloth wipes over TP. I hope to get the chance to address her questions later this week.
In the meantime, start wiping!