Do you have paypal? If not you could create one and link it up to your credit card.
This is how I got my bitcoin, and how I usually sell it.
Don't ever sell bitcoins using Paypal. IIRC Paypal made a statement saying buying and selling of bitcoins goes against thier terms of use. If you can find someone willing to sell to you, on the other hand, then go for it if you like. The risk is on the seller because your bitcoin transaction isn't going to be reversed but there's a good chance the fiat will. In any case, don't use a Paypal account that you hold money in or depend on for other purposes (say for ebay sales or whatever) because there's a good chance they'll freeze your account if the bitcoin activity gets reported.
The only real foolproof method for selling bitcoins is cash or money orders. Even the ACH transfers that Coinbase uses carries risk of reversal but Paypal is much worse than that... probably the worst method to use IMO.