“Thoughts on taking kids to a nude beach or a teenager on a nude beach? We live in California if that makes a difference”.

This decision depends entirely on your values. Some families are very open about nudity and the parents walk naked in front of their kids, while for other families, nudity is a no-no.
If going to a nude beach is something you enjoy and would like to do as a family, then go for it. However, given that your children are not little, I would tell them your plan and ask them if they want to go. Tell them that you are thinking of taking them to a nude beach, explain what they will find there, and ask them for their thoughts. If they don’t want to go, I would probably look for another beach, unless it is really important for you that they give it a go. If you end up going, explain the guidelines of nude beaches to them. Explain about the importance of respecting boundaries and privacy. Make sure your children are comfortable with the idea and discuss any concerns they may have.
I wish you and your children all the very best.
Love,
Ana