In the bowl of a stand mixer or with a hand mixer, cream together the shortening, sugar, and salt on medium speed until smooth. Add the egg, molasses, and white vinegar; beat well.
In a separate bowl, sift together the flour, baking soda, ground cinnamon, ground cloves, and ground ginger.
A little at a time, add the dry ingredients into the bowl with the wet ingredients and mix until well combined. The cookie dough will be thick.
Cover with plastic wrap and chill for at least 2 hours. The dough should be cold to properly be rolled out.
Preheat oven to 375°F. Grease or line large baking sheets with parchment paper and set aside. For the best cookie shapes, use the method below.
Remove the dough from the refrigerator and keep the dough in 1 big pile. Cut out 2 sheets of parchment paper, at least 1 inch bigger than the cookie cutter.
On one of the pieces of parchment paper, take a 1-inch ball of dough and roll it out to be ⅛ inch thick (add flour to the rolling pin if it’s sticking). Press the cookie cutter into the flattened dough, and remove the excess dough scraps around the edge, adding it back to the big ball of dough. Remove the cookie cutter. Take the other piece of parchment paper and place it on top of the cut out dough and flip it over.
Gently peel the top piece of paper off (the cookie will now be upside down). Then gently flip the dough back over onto the parchment-lined baking sheet (spacing the cut-out cookies 1 inch apart) and peel the top paper off (the cookie will now be right-side up again). This ensures a perfect shape!
Bake cookies for 5 to 6 minutes or until firm. Do not overbake, or they will become crunchy.
Use royal icing and candies of your choice to decorate and serve!