Money transfer system Coinstar Money Transfer is the fastest growing company in the market of remittances. Low-cost technologies have allowed Coinstar Money Transfer to lower the cost of transfers. Coinstar Money Transfer System works via the Internet, as opposed to Western Union and MoneyGram, which for the money transfers information are using their own internal networks. On June 1, 2007 the system "Travelex Money Transfer" has been changed its name to "Coinstar Money Transfer".