Facebook Frustrations

Although I should probably be outside enjoying this beautiful day, I have decided instead to vent my frustrations with Facebook.  Everyone always asks "Why aren't you on Facebook".  From the first day  my good friend created my Facebook profile....each time I try to use Facebook it never quite works out the way I intend.  My new frustration this week was attempting to create a "Secret" Group.  From what I can tell it is impossible to invite new members to my "Secret" Group without first inviting the "Secret" friend to be a friend through a "Friend Request".  The problem I can not seem to solve is that the "Secret" friends are then no longer secret.  How can I prevent these "Secret" friends from viewing my entire Facebook profile and instead only the content of  the "Secret" Group in which I want them to be view.  I know there must be a way to accomplish this task, but again I have failed at Facebook.  I have read about other academic professionals using Facebook to collaborate.  It sounds like such a great idea.  I am going to learn, I am not going to give up...some day Facebook will be my friend.