Hello, Mateusz,
If you are not satisfied with the outcome of the custom CSS code that was previously provided, you may attempt to further customize the files through the use of a child theme. Copy the origin file from xstore/woocommerce/cart/cart-shipping.php to xstore-child/woocommerce/cart/cart-shipping.php and make a few changes in these areas -> https://prnt.sc/0tA7D4tHpwJx
the result will be like this here – https://prnt.sc/7t8Rr8mmGWiV
Please note that additional customization is outside the scope of our basic support.
Kind Regards,
8theme team