Combine dough ingredients: In the bowl of a stand mixer, mix all dough ingredients together. Yep, just add it all in!
3 1/4 cups all purpose flour, spooned and leveled, 3/4 cups water, heated to 105°F, 1/4 cup granulated sugar, 2 Tbsp. unsalted butter, room temperature, 2 Tbsp. vegetable oil, 1 Tbsp. instant yeast (rapid rise), 1 large egg, room temperature, 1 1/2 tsp. table salt
Knead: add the dough hook and knead for ~6-8 minutes or until it is soft, yet smooth. Tacky is okay but it shouldn’t be overly sticky.
Rise: Add the dough to a lightly greased or oiled bowl, cover with plastic wrap, and allow to rise for 1 ½ - 2 hours. It should double in volume.
Divide the dough: Gently punch down the dough and turn the dough out onto a clean work surface. Use a bench scraper to divide the dough into 8 sections, ~100 grams each.
Shape the dough: To shape, pinch the dough at the bottom, and roll it on the counter under the palm of your hand to form a smooth ball. (see photos or video for guideance).
Place on baking sheet: place each dough ball, seam side down, on a baking sheet lined with parchment paper. They should be a few inches apart from each other, not touching.
2nd rise: pat each ball down into a 3 inch diameter with the palm of your hand. Loosely cover with plastic wrap and rise again for 1 hour.
Preheat and prep: Preheat the oven to 375°F. Brush the buns with melted butter (you will have some leftover). Whisk together the egg and water in a small bowl. Brush the buns with the egg wash too (this helps the seeds stick) and sprinkle sesame seeds or everything bagel seasoning on top of rolls.
3 Tbsp. melted unsalted butter, 1 egg mixed with 1 Tbsp. water, sesame seeds or Everything But The Bagel Seasoning
Bake: bake prepared buns for 15-18 minutes or until they look golden and pretty!
Cool, slice, and enjoy: brush the buns with any remaining melted butter (you may need to pop it in the microwave again for a few seconds), be careful not to brush off the seeds. Cool buns on a wire rack, when ready to enjoy slice horizontally with a serrated bread knife.