I start by heating the milk in a small saucepan until it just begins to simmer, then pull it off the heat right away. I stir in the butter and sugar until they melt completely into the warm milk. Letting this mixture cool slightly before the next step keeps the yeast from dying from the heat.
While the milk mixture cools, I stir the yeast into the warm water in a small bowl or cup. I let it sit for about five minutes until it turns foamy and fragrant. If it doesn't foam up, my yeast is usually expired, so I start over with a fresh packet.
In the bowl of my stand mixer, I combine the cooled milk mixture, the yeast mixture, the beaten eggs, salt, and about half the flour. I mix on low until it's smooth, then slowly add the rest of the flour until a soft, shaggy dough forms.
I switch the mixer to medium speed and let the dough hook knead the dough for about five to seven minutes. The dough should look smooth, elastic, and slightly tacky but not sticky to the touch when it's ready.
I transfer the dough to a lightly greased bowl, cover it with plastic wrap or a towel, and set it somewhere warm. This first rise usually takes about an hour, or until the dough has doubled in size nicely.
Once risen, I punch the dough down gently and turn it out onto a floured surface. This is where learning how to shape parker house rolls really pays off I divide the dough into 24 equal pieces and roll each into a smooth, tight ball.
I arrange the shaped balls snugly in a buttered baking dish, cover them loosely, and let them rise again for 30 to 40 minutes. They should look puffy and be touching their neighbors by the time they're ready for the oven.
I bake the rolls in a preheated 375°F oven for about 18 to 20 minutes, until they're golden brown on top. The moment they come out, I brush them generously with melted butter so they stay soft and shiny.