Carrots: they need to be grated, and I found that a large-holed grater is better. Grate them at the last minute so they don’t release much liquid. If they do release liquid when you’re about to add them, squeeze it before doing so.
Storing: Because this cake is topped with cream cheese frosting, leftovers should be stored covered in the refrigerator. You can freeze it in an air-tight container or freezer bag.