How to change checkout style

Hi,

i want to restyle my woocommerce checkout area.

First I tried to add the checkout shortcode into a custom page. But this does’t changed anything but the backgound.

So I have two points that I want to edit:

1. Layout: Is it possible make the checkout use “alternative content” style?
This would help a lot.
2. Remove Borders: I want to remove every border from “Deine Bestellung” table, except of the horizontal ones.