How do I know if my kids are going to turn out alright, especially if they know about certain issues I have?

You do not. You do the best that you can and if you are not sure seek counseling. This is all that you can do.

Your Kids turning out alright has SO much to do with your personal parenting style, but it's important to try to understand that ALL PEOPLE are unique & your child may not "be like you". if you're child isn't "the way you want them to be" THAT'S OK - making sure a child has the proper direction & advice throughout life whether from their parent or other sources that encourage them to be their best & experience life to it's fullest is SO important. You WILL go through struggles with your children, but identifying with them will certainly help you make sure they're on their own path to "turning out alright" in life.