Well rod, we do the same sort of thing with our 2 kids. I sugjest letting your little girl go without, If your 12 year old has a problem wiht it then he or she should be able to figure out a way not to wet on long trips.
i saw this suggested at a few places, so last week i told my kids (boys 9, 12, 14) that they were going to wear goodnites, they fussed at first but it worked well.