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If you do not have any credit history, you should consider credit cards for people with limited or no credit history. Or you can choose secured card. For example, Discover it® Secured card requires a refundable security deposit, but allows you to earn cash back on all purchases. This card has no annual fee. As a bonus, Discover matches cash back you’ve earned at the end of first usage year (only for new cardmembers). So, you may be able to offset your deposit by cash back rewards.