Cast-iron cookware is great for even and often fierce heat distribution, but I don't like fry-pans made from it as I find them too heavy for lifting, tossing and the likes. I do have a few enamel coated cast-iron casserole dishes (great for oven and hob) and an old uncoated Swedish cast-iron casserole dish that I truly love, even when it turns a little rusty. Once heated up they can be left on the lowest heat imaginable and the contents will slowly bubble away on hob, barbecue or in the oven. I also have a ridged cast-iron skillet that I use for meat, vegetables and sardines, and I like this because the ridges hold the meat above the flat surface of the pan, which they might otherwise stick to, while the metal itself gives off a fierce heat which cooks the meat evenly, with pretty looking markings - which always impresses the guests. I find it's also good to grill lightly oiled toast for bruschetta - the smokiness it adds to the toast is a bonus. Most cast-iron works on induction hobs too which is something to consider depending on your hobs. Poaching eggs in them isn't advisable (the metal can rust) so you're best to avoid this. I've never seen a stone pot - but that does sound intriguing.
Aluminium, copper and stainless steel pans are a whole other field, often very cutting edge and technological. There are pots on the market made from numerous versions of coated and layered metals and alloys, many I've never heard of, supposedly bringing benefits that sound more like something you'd expect from a jet-fighter catalogue. Aluminium gives lightness and even heat distribution. Copper also conducts heat wonderfully and looks great. Stainless steel is often used to coat or laminate the various metals in myriad variations so that no chemicals pass from cookware to food. What they all supposedly do is cook your dinner evenly, without burning it, and clean easily.
At home, apart from my cast-iron, all of my cookware is stainless steel coated, even the non-stick pans. As is often the case, but especially in cookware, you mostly get what you pay for. A good pan can last several lifetimes, so don't look at that 34cm diameter, deep-sided non-stick fry-pan with tightly fitting lid as an extravagance, see it as an investment. But, if like me you like to shop, make sure you have enough cupboard space to store them in!
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