'Fully hosted' payments (sometimes referred to as 3 party) means the payment page on your website is looked after and hosted by Paystation. Your customer selects what they want to purchase in the shopping cart on your website, then gets directed to our secure payment page.
'Merchant hosted' (sometimes referred to as 2 party) means that the payment page is hosted on the merchant's website, not by Paystation. For a business with enough resource, merchant hosted payments are available subject to bank approval, and to meeting PCI compliance requirements. Merchant hosted integrations don't protect you against charge backs like a fully hosted integration.
Paystation have a wide range of supported shopping carts, from Shopify to Magento, WooCommerce, Gravity forms, and more!