Just looking at how many transactions are going on every minute tells it all.
It is true that Paypal are connected to different online stores but when it comes to money transfer, surely bitcoin beats them.
If bitcoin goes thru all the ruckus that will happen to it then it can go way above Paypal.
It is just a matter of time. Paypal is a renowned method of payment and the number of its user is huge, no doubt. However, the number of transaction being made in bitcoins nowadays is far above than Paypal and bitcoin is still a young boy. With its progress rate, we can say that it will overcome Paypal in near future.