I have no idea yet about older child poo, but here is what I am using for my newborn and it works AWESOME!:
For the wipes, I cut up old t-shirts into small squares. It's super cheap, plus they don't fray in the wash, and you just toss them in the wetbag/washer with the diaper laundry. And for some reason, all but one of the t-shirts I have cut up roll themselves into scroll-shapes in the laundry which makes them look really nice and are easy to store that way. :) For now, with breastmilk-only poo, I just wipe him and toss everything into the dry diaper pail, and I haven't had any laundry issues yet (he's 3 weeks old.) The solution I'm using is to put a bit of aloe-vera juice in a Wilton plastic icing bottle (like a Peri bottle), then a few drops of grapefruit seed extract, then a few drops of essential oil of grapefruit, then fill to the top with distilled water (Brita filter) and keep in the bottle and just squirt a cloth wipe before using. I hold my hand around it for a few seconds to make it warm up... easy enough.
When I'm going out, I put several scrolls of diaper wipes (or squares or whatever) into a ziploc bag and squeeze enough solution into the bag to saturate the wipes. Easy to use for diaper changes, and can also be used to wash hands when out and about.
So far so good... I am so glad I am using disposable wipes... I agree than when using cloth diapers, it makes more sense, and is SO much easier to just have everything washable!
By the way, I agree with whoever said that I would never dunk a diaper in a public toilet... way too many yuckies in there... but that's just me! ;)