Most cats love boxes. However when you actually begin packing, place her to another room. Cats have been known to jump into a box and snuggle down amidst the contents, out of sight. Next thing you can’t find her because she’s packaged to go!
If you cat and dog has a lot of static in their fur, try using dryer sheets. Run one lightly over your pet’s coat to take out frizz and the friction. Don’t forget to wash your hands afterwards.