Pack the carrots tightly into any sealable glass jar of your choice leaving about 1/2 inch headspace from the top. Carrot sticks will need to be cut to length according to the jars you're using.To make the brine, place the vinegar, water, salt, sugar, garlic and spices to a small saucepan. Bring to a boil, reduce the heat and simmer for 2 minutes, stirring until the sugar and salt are dissolved. Pour the hot brine over the carrots and distribute the spices as best you can between the jars. Make sure the carrots are submerged under the brine, leaving 1/4 inch headspace from the top of the jar. Allow the carrots to cool completely. Screw on the lids and place the cooled jars in the refrigerator. Let them sit for at least 24 hours before eating them. Their flavor will continue to improve with time. The pickled carrots will keep in the refrigerator for up to a month.