The most used in my kitchen is a 14" stainless clad pan (SignatureWares). It’s hefty, but holds heat very well. Second would probably be a 12" cast iron. I have pretty much the same preferences as you, but I found a carbon steel pan doesn’t quite hold the heat as much as I’d like on an induction cooktop. That, and the one I have is 10.5" and I’m often cooking more than one serving so it gets crowded fairly quick.