Seems you need to use multiple providers and route payments depending on card type if you want lowest rates. For example, mollie is 2.5% for Amex but Stripe is 1.5% for Amex but or others it swings other way.
> Mollie for UK
- 1.2% + 20p for standard cards
- 2.90% + £0.20 for corporate and European
- 2.50% + £0.20 for Amex
- 3.25% + £0.20 for international
> Stripe for UK
- 1.5% + £0.20 for standards cards inc Amex
- 1.9% + £0.20 for corporate uk cards
- 2.5% + £0.20 for international within Europe
- 3.25% + £0.20 for International + 2% if fx conversion
[0]https://www.mollie.com/gb/pricing#psp-block
[1]https://stripe.com/gb/pricing. (scroll down for list)
Almost only Americans use Amex though, unless you exclusively target the US market, you can skip it and basically not miss out on a single customer.