While there is no specific area for pets, you can include the amount as below.
Which moving expenses can I deduct?
You can deduct expenses (if not reimbursed or furnished in kind) for:
Moving household goods and personal effects.
You can deduct the expenses of moving your household goods and personal effects, including expenses for hauling a trailer, packing, crating, in-transit storage, and insurance. You can't deduct expenses for moving furniture or other goods you bought on the way from your old home to your new home.
