I bring four overseas.
Flying Blue World Elite for almost everything (my main point collection card currently)
AMEX Platinum with Premium Car Rental Protection for car rental (obviously), unless I'm in Italy. Also for the occasional high priced merchandise purchase.
Barclay Arrival Plus as a backup (just in case).
Schwab One Debit Visa for ATMs. I maintain a separate checking account, apart from my main investment account, which I fund before departure for travel cash.