Thanks guys!

Just to summarize this thread for any other readers (and hopefully it shows up in a search):

In modules:

To get current users, Me.UserId()

To get current module, Me.ModuleId()

To get current tab, Me.PortalSettings.ActiveTab.TabId

In skin objects:

To get current users, Entities.Users.UserController.GetCurrentUserInfo.UserId() (seems like this should be added to skin object for personalization....)

To get current tab, Me.PortalSettings.ActiveTab.TabId

Current module is moot, since a skin object is attached to a page/tab, and not a module...

Hope this helps someone else down the line...

PS. Is there a reason why my posts are still moderated after almost a year?  It really makes it hard to help others on this forum...