Yes I have a Kenmore Induction Range and love it. We have had gas, electric through the years and Induction is far superior to both.
Now as for pots and pans here is the easiest test. Get a magnet (refrigerator type are fine) and see if they will stick to the bottom, if so they will work. Now 18/10 stainless isn't magnetic but others new pots and pans are. Even the Emeralware and Wolfgang Pucks are induction ready.
In addition Cast Iron all works with few exception mostly due to the bottom they need to be fairly flat. Enamel cast iron also work fine as does steel such as woks. Multi ply pans also work great but the out side needs to be magnetic. I have several pans that start as 18/8 stainless with layer of copper or aluminum followed by other layers and finish with 18/10 stainless.
Some things to be aware of with induction is the stove top only absorbs heat from the pan as it doesn't have a heat element. The work with magnetic fields to turn the pan into the heat source. They also heat up much faster than gas or electric an cool faster than both. Also be aware that the heat knob marking tend to be a bit different that say an electric in that if 5 is medium heat on mine 3 is. Mine goes from .5 to 9 in half steps as well as a PB mode above 9 that boils water or to cook with a wok that is higher and faster still.
I hope it works out for you as well as it did for me. I also change most of my stainless pans a piece at a time when I got the first portable one. That first portable convinced me that induction is the way to go. I had mostly 18/10 stainless also but replaced it as I said a piece at a time. I also dumped a lot of stuff I got through the years in sets I never used. This cleared up a lot of storage under my very limited cabinet space.