If your credit history is limited, you won’t find a credit card with such combination. You can only try to find a card with fewer fees. Take a look at instant approval credit cards. Compare the cards’ fees and choose the most appropriate one. For example, consider Credit One® Bank Visa® Platinum credit card. With this card you may be given a desirable credit limit and the annual fee will be deducted from your initial available limit when the account is opened.