I'm an AMEX cardholder. I don't really mind too much when people don't take AMEX. I understand they are a "premium" brand and I adjust my expectations accordingly. That being said 99.9% of the time they take AMEX.
>giving a select list of options, lets the user know to use that type of card
No. AMEX cardholders know they aren't welcome 100% of the time, and they know to look for an AMEX logo before typing in their info. You need to have the proper logos or lists of payment methods right next to your way to pay.
Seconded. I know to look for an AMEX or Discover logo at a cash register or on the bill cover at a restaurant/bar. Those cards are accepted at many more businesses than they were ten years ago, but acceptance will never hit 100% due to the fee differences for merchants.
>giving a select list of options, lets the user know to use that type of card
No. AMEX cardholders know they aren't welcome 100% of the time, and they know to look for an AMEX logo before typing in their info. You need to have the proper logos or lists of payment methods right next to your way to pay.