agree with others. Once you've had one, you'll never again qualify for enrollment bonuses. Amazingly, I just received a pre-approved "offer" from Chase/UA that starts, "Dear ..... As a current Chase/UA cardholder, we'd like to offer you 15k UA miles for accepting a new, separate Chase/UA card account." Then, on the back in fine print, it says "bonus miles offer only valid for new cardholders"!! Argh .. talk about fraudulent adverts!