Well, that's another reason for me to hate wells fargo.
Is paypal considered safer? How would wells fargo even know I sent money for bitcoin? Isn't there some IRC channel I can simply say i'll pay you $11 for a BTC?
There is a mass of paranoia in the community right now due to a bunch of high profile thefts.
Pretty much all non-cash transactions in the US are reversible, usually for a long time, like, 180 days long. Bitcoin, on the other hand, is instantaneous and non-reversible and non-traceable in a practical sense, so the buyer could conceivably receive the bitcoin, and then commit fraud by either a)claiming they never received the goods or b)claiming the transfer was made to the wrong party. Either way, seller is screwed and has no recourse. Imagine going to the police and rambling about hashes and crypto-currency and sha256 encryption. They'd be more likely to lock you up than take you seriously.
There are some local bitcoin exchanges, maybe google bitcoin otc?
e: You can do an intra-customer transfer for whatever reason you want...bitcoin isn't illegal yet, and what the money is moving for is no business of the bank. That isn't really the issue as suggested above.