Keep to online security basics
Rather than using credit cards online for every purchase, you could think of third party payment processing systems, which will reduce the number of times or the frequency at which you will be exposing your credit card details online.
This will also minimize the risks of credit card frauds and online identity thefts. You need to however, identify the most trusted payment processors.
There are number of trusted services such as Skrill, PayPal, etc. Abiding by these basic safety factors will go a long way in protecting you from online credit card frauds.