Aluminum Core Pots and Pans?

Aluminum cores are fine. They are wrapped in stainless (make sure), or stacked inside stainless steel.

Aluminum is one of the most common elements in the world. We're exposed to it in more ways that you can count. Links to alzheimers are inconclusive.

From what I understand, non-stick skillets are ok as long as you don't overheat them and cause the material to burn (you can smell the fumes when overheated). I use mine with medium heat, like for omelettes or grilled cheese sandwiches, but never for searing a steak.