Talking teenagers out of pizza is a veeeeery tall order.
I forgot what Choco mentioned, which is pretty important.....there aren't really any pizza chains within 30 miles of me at least, so for me pizza is my go-to carb refeed/cheat food.
I make the crust from almost flour, and the tomato sauce is made out of my backyard. I cook it on a woodstove or if I really want to wait for a 600 degree oven. I never understood the bad rap pizza got, as this is my image of it. My main pizza takeout place makes their own sourdough and sources meat from within the county. It is expensive, but heavenly They make a "wild man's Hawaiian Pizza" that has wild boar, pineapple, and real coconut shavings on it.
That said, that is my usual myopia about most diet stuff; my definition is often not that of others, and I often forget that to a fault.....looking at a quick google search of the ingredients in your average pickup pizza from a chain though, yeah, not good for you at all.
I ran into 5 preservatives in just the cheese. Not a good sign.
"Man is born free.....but everywhere he is in chains."