Preheat the oven to 350°F (180°C). Butter cookie sheets or line them with parchment paper.
Beat ¾ cup unsalted butter in a large mixing bowl until smooth, about 20 seconds. Gradually add ¾ cup light brown sugar and ¾ cup white sugar and beat for 2 minutes, until creamy, scraping the sides of the bowl as needed.
Add 1 egg and beat at medium speed for 3 minutes, scraping the sides of the bowl a few times. Add 3 tablespoons whole milk and 1 ½ teaspoons vanilla extract. Mix until incorporated.
Add the sifted 1 ¼ cups all-purpose flour, ½ teaspoon baking soda and ¼ teaspoon salt to the butter mixture. Mix at low speed just until well blended and no dry spots remain. Don't overbeat at this point.
Stir in 3 cups traditional rolled oats in two parts so they're easier to incorporate.
Add 1 ½ cups semisweet chocolate chips and mix well. I use a rubber or silicon spatula for this part. Make sure no flour remains in the bottom of the bowl. At this point, the cookie dough can be refrigerated for up to a day. See note below.
Scoop out portions onto the prepared baking sheet, leaving space between them, an inch or two, depending on the size of the cookie. Add a few extra chocolate chips to each cookie dough ball if you want to. Flatten them slightly with my fingertips so they bake faster with soft centers. This is important if making larger cookies so there's less chance of the center taking too long to bake while the edges brown too quickly. If you're unsure if you want to flatten them or not, do a test bake with two dough balls, leaving one whole and flattening the other, and see which one you like best.
Bake for 10-12 minutes, depending on the size, until golden brown and still soft in the center. I use a 1.5-inch cookie scoop and bake them for exactly 10 minutes.
Smack the pan on the counter immediately after you take it out of the oven. It will deflate the cookies a little and help with the texture.
Sprinkle them immediately with extra chocolate chips and finely chopped walnuts if desired.
Let them cool on a wire rack before lifting them carefully from the paper and cooling them completely. Once they cool down completely, transfer cookies to jars or an airtight container.