If you have registered and received a VAT ID for your business, you'll need to set up a VAT collection feature in your store.
WooCommerce: Setting up taxes in WooCommerce
eBay: Taxes and import charges
BigCommerce: EU VAT: How it works with eCcommerce
Wix: VAT in Europe
PrestaShop: New VAT rules applicable for the European Union
Printify API: More info will follow