I have 5 in diapers and have a bucket that I bought from the dollar store for each of them that I fill up every few days- in the bucket is diapers/cream or powder and wipes that the parents provide them all. The buckets are big enough to hold everything and small enough to all fit on a shelf
I bought the wipes container for each little one and put them name on the wipe container and their bucket.
I have my own wipes- the Costco brand that I love too for myself that I pack up for daily trips and or outside when we have snack. I end up using my own some times when parents are late bringing me wipes after a few reminders