Absolutely! Internet shopping with reputable companies is VERY safe.
We use Thawte security to make sure that your credit card details are encrypted and sent, meaning there is no human interaction. Unlike other companies we will never hold any of your payment details on file. We know this can be annoying but we think this is a much safer for our customers.
Also, you'll never try and pay with an old card, so sometimes shoppinng can be much quicker.