I suggest you to use Paypal because of it's really high security, but there are some other opinions though!
First of all, Paypal is owned by eBay owners and that is why PayPal payments are recommended by eBay.
PayPal automatically encrypts your confidential information in transit from your computer to ours using the Secure Sockets Layer protocol (SSL) with an encryption key length of 128-bits (the highest level commercially available). Once your information reaches the PayPal site, it resides on a server that is heavily guarded both physically and electronically. PayPal servers sit behind an electronic firewall and are not directly connected to the internet, so your private information is available only to authorized computers.
In conclusion, Paypal is very easy and safe payment method everywhere in the web!