he aluminum worry is based on a faulty study that said it was linked somehow to Alzheimer's, It is not.
for many years, the main treatment for severe heartburn, ulcers and ERD or reflux was antacids. Most of these were some combination of aluminum and magnesium salts, and many many people took these daily as a way to control heart burn etc. If there was any connection between aluminum and Alzheimer's, millions of people who took this medication would be suffering at much higher rates than the general population., This is simply not the case.
The coated cookwear is a different animal. teflon or PTFE is an incredibly stable material, and used daily in surgical implants around the world. However, in making it, a oil is released, itself incredibly durable and unlike teflon, toxic. this oil is very very difficult to isolate, control or contain, and places that have made it are found years later to be contaminated with it.
Google 3M mississippi basin, Teflon residue,
this is also why scotch gard is not longer available OTC.
As far as 14 inch skillets if you are cooking over a regular electric or gas range, most do not have the heating ability or BTU's to heat one properly.. you either get smoking hot in the center or just right in the middle and cold on the edges. a 12 inch is pushing it for most stoves, and tens usually do a better job. If you have a electric range, a good 10 inch deep skillet will work better as the range element is the same size as the pan, on a good gas stove, there is enough BTU put out to evenly heat a 12 in pan, only stuff like Viking or La France have enough heat for bigger pans.