I use wash clothes .... I have at least 40 white clothes for meals and 20 dark blue ones for craft/sensory messes ... so enough to get me through the week by having 1 per child each day and it hangs on the back of their little chair between snacks and meals and than goes into the hamper in the morning after it has time to dry and it is replaced with a fresh one at the morning snack. I do the daycare laundry on Fridays with their bed sheets and everything so end up having a load of 'whites' and a load of 'colors' that is daycare only stuff.
In the summer time when we are picnicking more I buy the cases of 'disposable wipes' from Costco and admit that I do use those more cause do not always have access to running water and they are just easier and lighter than trying to carry enough wash clothes for before the meal, after the meal and if they just get 'dirty' in some mud or what not.