Many of us have had bad experiences with Bidpay and I can't imagine why anyone would use it (as a buyer) if Paypal was also offered.
If you accept only Bidpay and someone really wants the item, the new Bidpay seems acceptable. I shop only Paypal, myself - because of ease of payment and all the protection.
Perhaps if you put in your auction something like "Bidpay is a safe and easy way to use your credit card for payment" it would help - as I am having trouble making Paypal use the credit card I want them to use.
But still, it's hard to get people to change habits, especially when being part of Paypal is such a good thing for buyers.