There are two methods to get the shipping method of current store:
Method 1:
Log into the Magento Admin Panel.
On the top navigation bar, hover your mouse over the "System" tab.
In the drop-down menu, click on "Configuration."
On the left side navigation bar, under the "Sales" section, click on "Shipping Methods."
You will see a list of all the active shipping methods for the current store.
Method 2:
Log into the Magento Admin Panel.
On the top navigation bar, hover your mouse over the "Stores" tab.
In the drop-down menu, click on "Settings."
On the Store View page, scroll down to the "Shipping Settings" section.
You will see a list of all the active shipping methods for the current store.