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Add, edit, or change the order of your shipping methods in Shipping Manager.
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The next step would be to create shipping rates for each of your shipping methods. Once your shipping methods and rates are set up, remember to publish your order settings.
In Shipping Manager, you can edit the display order of your shipping methods. Shipping methods will display in your checkout in the same order in which they display under Selected Methods.
The shipping methods will now display in their new order: