How do I report reimbursed moving expenses?

Exclude the expenses for moving your goods plus travel expenses. Here are the rules:

NJ tax instructions state: Moving Expenses. 

Moving expenses are not deductible for New Jersey Income Tax purposes. You can, however, exclude reimbursements for the following moving expenses if you met the federal requirements to claim moving expenses that were in effect on December 31, 2017, and the expenses were included in wages on your W-2: 

1. The cost of moving your household goods and personal effects from the old home to the new home. 

2. The actual expenses you incurred for traveling, meals, and lodging when moving yourself and your family from your old home to your new home. Reimbursements for any other moving expense cannot be excluded from income.