I am a new subscriber, although not a new member. Been lurking for a while, so please judge when you don't see any posts. Having just this morning decided to spring for the life time membership, I had the same thoughts as the OP. I don't have ANY credit cards, I recently just paid them all off and they had all been previously closed, due to a rather unfortunate situation with my now ex-wife (I don't need to go into details).
In any case, the only "cards" I have are attached to my checking/saving accounts and I am rather weary of using those for online purchases given the rise in attacks on credit card data recently. To say that PayPal doesn't get you very much protection is a rather presumptuous statement. It gets you at least a single level of security/obscurity between the vendor (you), and my card information. I'm sure your server admins are great, but I somehow doubt they put as much resources into security as PayPal does.
You say, "get another card." Well I can't, and I really don't want to, to be honest. I know there are pre-paid card options, and kinds of ridiculous offers that pretend to cater to people with bad credit but charge insane rates. No thanks, I have a great job and I prefer to pay for everything up front (cash) if at all possible. That said, I cringe having to give out my card numbers to online outfits (vendors, subscription services, etc) who's security practices cannot be reasonably assumed and/or verified.
Maybe you have some other moral or philosophical reasons for not accepting paypal, and I certainly can understand and wont argue that. But I just hope you all consider that other forms of payment would be quite welcome, for many more reason I'm sure, than the one I have just given.