Yes, I do think it is important to buy a pot which matches your induction burner. It is something you can keep in your mind when you purchase pot. The bottom of the pot has to match the induction stove, and only the bottom.
Yes, the surface of an induction stove is smooth, but not that smooth. I have never had the experience of the hot pot moving around on the cooking surface.
Yes, these type of electric cookers also work. This one will give you three functions:
I think all of them will work, so pick the one which makes more sense for you. Good luck.
