Millions of people do it every year, so you should be safe. If it is your first time and you want to know the best (read: safest) way to conduct the transaction, visit your bank branch and ask them to assist you.
Is making a wire transfer through Chase secure, and how can I verify its safety?
Can the source and destination of a wire transfer be tracked by third parties?1 ansWhat happens if a wire transfer is sent to a bank account that does not exist?1 ansWhy do interbank transfers take longer than transfers within the same bank?1 ansCan wire transfers be lost, and what causes this?1 ans