You pose an interesting question. What are you trying to accomplish? Do you want to hand down a true family history to the best of your ability or a feel good family story? Only you can decide the answer to that question. Keep in mind that what you do not share may be gone forever after you go.
My grandmother brought me to Italy for the first time when I was about 12 yo. to introduce me to that side of the family and she did her best over the years to impart to me our family history as best she could. I'm forever grateful for that. I no longer have her to fill in any blanks.