Once you apply then you can easily carter's credit card payment for purchases you want to make. But first let us tell you how to apply for carter credit card. Carter's credit card application is simple. You can do so by filling out a form and submitting your information on the Carter's website or at any store. The answer is lightening fast, so the bank will let you know whether you're eligible very shortly.One important feature is that anyone with a terrible, fair, or good credit score is eligible to apply.