there are lots of ways to make potato soup. I know because I just looked through a half dozen online recipes to find something that felt close to what I remember my grandma made, and I have a feeling every time she made it it was a bit different. (except no spicy things were added as in this one). it's good to have a bit of instant potatoes on hadn to thicken it if needed. oh, and we always leave the skins on.
https://sugarspunrun.com/creamy-potato-soup-recipe/