Set oven to 350°F (175°C). Grease and flour four 8-inch round cake pans or line the bottoms with parchment paper.
In a medium bowl, whisk flour, baking powder, baking soda, and salt until well combined.
Beat softened butter and sugar in a large bowl for 3–4 minutes until light and fluffy. Scrape down the sides halfway through.
Add eggs one at a time, mixing well after each. Stir in lemon zest, vanilla, and lemon extract (if using).
In a small bowl, mix lemon juice and milk (it’ll curdle a little—perfect!). Add dry mix and lemon-milk mix to the batter in turns, starting and ending with the dry. Mix until just combined.
Gently fold in chopped strawberries. Add food coloring for a pink hue, if desired. Don’t overmix.
Divide batter evenly between pans. Smooth the tops. Bake 20–25 minutes or until a toothpick comes out clean. Cool in pans for 10 minutes, then transfer to wire racks to cool fully.
Lemon Cream Cheese Frosting
In a large bowl, beat cream cheese and butter for 2–3 minutes until smooth and fluffy. Mix in lemon zest, lemon juice, and vanilla until well blended.
Add powdered sugar gradually (½ cup at a time) until the frosting is thick, creamy, and spreadable. If the frosting feels too soft, chill for 15 minutes before frosting the cake.