Checkout form customization

Checkout form customization

Hey there,

I am testing commerce and it seems to be a good platform.

I am wondering if customization of the checkout fields is possible?
For example, the standard checkout form asks for an email address.
Would it be possible removing this?

I would also like to add more fields and notes to the checkout page. For example, I would like to remove the 'billing' address tickbox completely.

How can I acheive this, or something along these lines?

Thanks in advance