You attached a link to the 1040 form, which told you you needed IRS form 3903. It discusses the time and distance tests and discusses what can be claimed.
Moves within or to the United States or its possessions. Enter
the amount you paid to pack, crate, and move your household
goods and personal effects. You can also include the amount you
paid to store and insure household goods and personal effects
within any period of 30 days in a row after the items were moved
from your old home and before they were delivered to your new
Yes keep your receipts. They will be needed in case you are audited. Unless the forms tells you to attach them, there is no need to send the receipts to the IRS.
Make sure that you will meet the time and distance requirements.