We have a single hob induction cooktop alongside our natural gas range. It is the equivalent of 31,000 BTUs & can boil a stockpot of water in 6 minutes. The same pot of water takes 17 minutes on our natural gas burners rated at 17,000 BTU, which is very high for a residential burner. (Wolf tops out at 16,000 BTU.) Induction is flameless, making it very safe for children cooking, & it stops heating the second you remove the pot or turn it off. While the cooktop material gets warm from heat transfer from the pot, it never gets as hot as a conventional electric coil or smooth top, so the burn potential is much less. As for cookware, we got rid of all our aluminum cookware a long time ago & use stainless steel, cast iron, & enameled cast iron pots & pans.
We have a large propane tank at our lake house, which powers our cooktop, water heater, & outdoor grill. For cooking, propane is wimpy & nowhere near as powerful as natural gas. If/when we remodel, the cooktop will be replaced with a 4 hob induction cooktop. We'll probably have a single gas burner in case the power goes out, but induction has so much to offer.