Many of the movers listed on can provide packing services upon request. To determine if a company provides packing services or not, click "View Profile". If they provide the service, it will be designated on their profile as  Packing Services.

Keep in mind that providing packing services does not mean they can also provide packing materials. If they can provide materials, click "View Profile" and it will be shown as Can Provide Packing Materials
When submitting a booking request there is not an option to indicate that you will need packing service. You should select Furniture Move and add notes that you are in need of packing services.