I enabled the admin_menu module. It was very easy to configure. I removed the Administration menu items off of the Navigation menu so they weren't in two places, which would have defeated the purpose of installing the module in the first place.

One thing I'll need to remember: Re-enable the Administration menu items in the Navigation menu when the time comes to do a Drupal version upgrade. Otherwise, after I disable all contrib modules I'll be left without an admin menu at all. That would suck. Five bucks says I'll forget to do that...