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The sun won’t die. It will turn into a white dwarf which is basically a really hot ball of carbon, iron, and lighter elements which will just cool down for trillions of years until it’s an inert lump. Also the sun may not eat us. We aren’t sure how far the sun will expand during its red giant phase. We may escape being gobbled up and may only get baked like an autoclave. Thanks for attending my lecture.
Don't they eventually turn into black holes as well?
Not for stars the size of our sun. You need a few times the mass of our sun in order to get a black hole afterwards. Our sun will puff up to a red giant, slough off the outer layers, become a white dwarf and then slowly cool over aeons.