There is fraud online, but giving your credit card details on a secure web page is still safer then reading the details over the telephone, or worse still, emailing it unsecurely. It is important to build trust with your customers, and have a trustworthy brand as well as lots of information about your company. There are systems such as Verified by Visa which provide an extra level of security to both merchants and cardholders. A payment gateway provider (or bureaux) will usually provide fraud prevention measures. If in doubt, ask.
