Hello, @kollin .
Elias here with Shopify Support. That’s a great question!
I understand you’re looking to change the ‘Shipping from’ address in your Shipping settings. Since you’ve moved to a new address, you can edit your existing location under ‘Locations’ found in your Settings. This will be reflected in the shipping labels once you make the changes. This function will also allow you to add new locations as well. That said, if you do add more than one address, it will be important to assign your inventory for each location.
Here’s a couple screenshots to help you find this in your settings:
Is this what you were looking for? If you have any other questions on locations, don’t hesitate to let me know in this thread!