We all know that Facebook isn't a place to share private information.
You could go through your Facebook book account and make sure all of your privacy settings are up to date. Or you could go through your friends list manually and get rid of people you might not want to be your Facebook friend anymore.
If you still want to share great moments in your life with friends and family, but want to do so in a more private way than Facebook, check out Glassboard.
It only shows your posts with the people you want - not with advertisers or to the general public. Your posts are all invite-only by default, so you never have to worry about privacy settings.
It works on Androids and iOS, too. No matter where you post from, everything you post is safely encrypted on Glassboard's servers.