I don't know about you, but I hate when a bandage is ready to come off my child. Not that I don't want him to heal, it's just that the crying and anxiety caused by this little tiny piece of tape is sometimes unbearable.
Here's what I found works great: dip your finger in baby oil and rub it on top of the bandage. In a matter of seconds, the oil will seep into the bandage and, voila, no more stickiness! The bandage just slides off and the skin is left soft and soothed by the oil.
My four-year-old calls it Mommy's Magic Oil.