Coinstar transfers cost in one and a half or two times cheaper than the Westren Union and MoneyGram. The benefits of remittances Coinstar Money Transfer: On June 1, 2007 the system "Travelex Money Transfer" has been changed its name to "Coinstar Money Transfer". The benefits of remittances Coinstar Money Transfer: in case of return of the transfer, the commission is not returned to the sender.