@Potterspop - I work in finance, so I think I can put your mind at rest. Any bank that can handle international transfers will be experienced in the process.
Of course it would be safest to take your statement, to avoid having to read numbers in English. The teller will also have access to a master bank identifier code list if they have any concerns.
Should the worst happen and a mistake is made, the buck stops with whoever made it. So a bank would compensate you for money sent to the wrong account, if they entered the wrong information. Obviously, if you give them incorrect information then you risk losing the money forever.
You will get a copy of the form once the money is wired. Check this carefully against the BIC code on your statement, just to be sure.