With the help of some Accrisoft / Accrinet Samurais I found a solution to my problem. Here is a brief explanation for those interested.
Goal: Make the detail page of a custom module, while making some information on the page available only to those who are logged in.
The key was to create a Membership (Login/Log out HTML) Module Layout. To do this, just click "Add a New Module Layout" in the Green Interface > Layouts > Modules and then choose "Membership (Login/Log out HTML)".
I named mine "membership_loginToggle" because the layout will determine if a user is logged in or not and toggle the content accordingly.
The body of this layout looks like:
Note that there are not spaces and everything is on one line. Make sure you do this to maintain quality assurance.
Finally, in the detail layout of my custom module, I typed:
**SHOW FILES TO DOWNLOAD**
The Membership (Login/Log out HTML) is used in this case to create a True/False check to see if the member is logged in or not.