If i have no credit history how can I go about appling for credit cards without damaging my credit?

To avoid damaging credit you need to apply for the right card. The right choice depends on your current social and financial status. Assuming that you are a young adult working for living and owning a valid credit score at one of the credit bureaus, or you're a college student, you can be approved for Capital One "limited" credit offers.

Choosing a Capital One Platinum - Visa, you get a moderate annual fee and save on purchases with some of the lowest APRs in the market. If you apply for Capital One Standard Platinum you'll benefit from no annual fees and extensive Platinum Benefits.

Before you apply for any of the Capital One cards, make sure there are no bad payments or bankruptcy records in your credit report.

If you do not have a good income and a valid credit score and you're not a college student, then the right choice would be a secured credit card. Consider applying for Black Diamond Visa® issued by Millennium Bank, a high limit card with reasonable pricing and additional benefits. You will have to make a cash collateral deposit which will be your limit. In a while of responsible payments, you'll build up a credit score and will be able to get a standard unsecured card with best rates, fees and rewards.

Choose a credit card based on your current social status and paying capacity and apply for it online.