If you haven't already, I highly suggest changing to wheat bread. What's the difference? Up to two grams of fiber and/or protein per slice!
In contemplating the switch, it's important to choose a wheat bread that you and your family likes to eat. There are a lot of options out there. We found one that uses concentrated wheat flour and is light and chewy. Since we found a bread we like, we much prefer whole wheat bread! White bread feels flimsy and unsatisfying now. We love the hearty texture and nutty taste of whole wheat. Shop around and find a whole wheat bread that you love.
One way to start integrating into whole wheat bread is to make French toast with it--how can it be too bad under all that syrup? You could also integrate by making sandwiches half white and half whole wheat until everyone gets more used to it. And remember, once you make the switch you'll have all the benefits of whole grains!