Refer to this link it has useful tips.https://community.shopify.com/c/Shopify-Design/Removing-quot-shipping-calculated-at-checkout-quot-fo...
My name is Lilith, I'm on the Social Care team at Shopify. It sounds like you might be wanting to remove this text showing up on the cart page:
If your theme is a Shopify-developed theme or a 3rd party theme from the theme store with the option to edit the languages on it, then the solution is going to be fabulously simple!
All you have to do is the following:
1. Go to Online Store
2. Click on the Actions dropdown of the theme you're working on
3. Select Edit Languages
4. Head into the tab called Cart
5. Scroll down to Taxes and shipping at checkout (yours may say something similar)
6. Remove the text in the field and just add a space in there to remove the text
7. Click Save
It should change immediately to what you want as soon as you save, here's where I changed it and the result:
Let me know how you do with the information above! I'm happy to answer any questions you think of as you work on your business.