Scrub potatoes clean then pat dry. Slice potatoes crosswise into ½"-thick discs.
Place potato rounds into a large mixing bowl. Pour melted butter over potato rounds then toss to coat. Season potatoes evenly with kosher salt and arrange onto a large baking sheet, spaced as far apart as possible.
Bake potatoes for 30–35 minutes, turning once halfway through. Once the potatoes have browned lightly on both sides and are tender in the center, remove from the oven.
Top each potato round with shredded cheese then sprinkle with crumbled bacon. Return potatoes to the oven, just long enough to melt the cheese (about 1 minute).
Remove from oven, sprinkle with chopped chives and allow to sit until they are cool enough to handle. Serve with a dollop of sour cream, if desired.