The WooCommerce Table Rate Shipping plugin has the ability to add multiple rates for a given customer based on a variety of conditions set by admin. These can include shipping destination, cart subtotal, item shipping class, price, weight, and so much more.
This plugin works alongside your WooCommerce store by adding a new shipping method directly to your WooCommerce settings. The familiar layout and easy to use options will make it simple to setup and use in your store.