PayPal is all I use to buy/sell on eBay. It is so convenient and quick. I have used PayPal for years and have never had a problem with them or their service.
And to the remark that you get e-mails from PayPal when you never had an account with them, those are obviously phishing e-mails. Spammers send phish e-mails disguised as reputable companies to try to get your credit card or other sensitive information. Just delete them, or report them directly to PayPal by using [email protected] 🙂