Different VAT rates on product and shipping

I need to implement two different VAT tax rates.
2.6% on products
8.1% on shipping
Taxes included in price.

This is applied to every customer who chooses shipping (instead of pickup at store). Shipping only in homecountry, no difference between states.

How must I proceed? I couldn’t find answers in either the documentation or in the forum.

Thanks for any help.