Cream the butter and sugar together until light and fluffy.
Add the flour and beat until dough-like clumps start to form.
Tip the mixture out onto a floured work surface and use your hands to gently knead it together into a smooth ball of dough - this shouldn't take long, only 30 seconds or less.
Use a large rolling pin to roll the dough out to ¼ inch thick, use cookie cutters to cut out shapes, and transfer them to the prepared cookie sheet.If the dough has gotten too warm and soft to work with, put it in the fridge for 5-10 minutes to firm up a little, then try again.
Chill the cut-out cookies for 30 minutes. This is to help them keep their shape in the oven. If you aren't worried about a little spreading, then you can skip this step and put them straight in the oven.
When the chill time is almost up, preheat the oven to 325°F / 160°C.
Bake the cookies for 13-16 minutes, bake time will vary according to thickness, so it's best to look for visual cues when they are ready. As soon as the very edge of any of the cookies starts to turn golden brown, remove them from the oven. They should still look very pale in the middle.
Leave the cookies on the pan for 5 minutes, then transfer to a wire rack to cool.