Preheat oven to 350 degrees. Line a baking sheet with parchment.
Cream butter and sugars until light and fluffy. Beat in eggs one at a time. Beat in vanilla.
Whisk together dry ingredients (flour to poppy seed). Add to the creamed mixture until just combined.
Beat in the lemon zest until just combined.
Scoop onto a cookie sheet in 2 t portions.
Bake for 12-13 minutes until the edges are lightly golden for chewy cookies. Bake a few minutes longer for crisp cookies.
Transfer cookies to a wire rack to cool completely.
Store in a covered container.