Hi, Welcome!
Sounds like you are in the right place. We have definitely noticed how giftedness can run through generations of a family. So, it makes sense to me that your children take after you.
I don't think you should feel 'scared' about sharing; I really do think people opening up on this topic is helpful to families now and in the future.
I think one major benefit of this forum is that as a gifted parent of gifted children, you might not readily find the other gifted families in your area, for one reason or another, and you might live in a town where people are uncomfortable with the discussion; so, this seems to be a safe place to share.
Just knowing that you care so much that you 'don't want to mess up' is a sure step to showing that you are aware and engaged and that is great!
Also, I am sorry that you had to hear any negative comments as a gifted child. Even though gifted children have been identified for a very long time, there does seem to be some ignorance around how to treat gifted children. Hope it helps!