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Typically, to qualify for these kinds of credit cards the bank issuing the card whether its a store card or a general rewards card requires that applicants have a credit score that falls in the 660† to 719† range, meaning that they have a good credit score. Given that your score is below 660† it might be a good idea to wait and build up your credit history a bit more, so when you apply you know that in all likelihood you can get the card.
In the mean time if you shop at the Goodys store you can sign up for their Style Circle, which comes along with some benefits, including a Welcome Coupon worth $5 off at the register, when you make a purchase of $5 or more. It also comes with additional benefits all of which you can take advantage of even if you're not a cardholder. More information is available on the website, and you can also apply for a general rewards card, which will let you earn points, miles or cashback.