Preheat the oven to 350 degrees. Grease and flour three 8x2 inch round cake pans, you could
also use two 9x2 inch pans
In a medium size bowl, add milk chocolate chips and 1 ⅓ cups milk. Microwave for 20 seconds letting it sit a minute or two, stir. Microwave another 10 seconds letting it set a minute to soften further, stir. Microwave another 5 to 10 seconds. The chocolate chips should look softened but still hold their shape. Stir or whisk until completely melted, it will take a minute or so of stirring.
Let the chocolate cool down slightly before using.
In a medium size bowl, add the flour, baking soda and salt. Whisk at least 30 seconds to blend and then set aside.
In the bowl of your mixer, add the butter and mix until smooth. Slowly add the sugar and mix on medium speed 4 to 5 minutes until the mixture has lightened in color and become fluffy. Add vanilla.
Add the eggs one at a time, mixing until the yellow of the yolk disappears.
Add the dry ingredients alternately with the liquid chocolate/milk mixture, beginning and ending with the dry ingredients, 3 additions of dry and 2 of wet ingredients.
Bake at 350 degrees for 22 to 24 minutes, cakes are done when a toothpick inserted into the center comes out clean or with just a few crumbs attached.