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: the recipient does not incur any expenses. The benefits of remittances Coinstar Money Transfer: Until June 1, 2007 the system of "Coinstar Money Transfer" was called "Travelex Money Transfer". On June 1, 2007 the system "Travelex Money Transfer" has been changed its name to "Coinstar Money Transfer". Coinstar Money Transfer works as follows: The client has to come to the branch office of the agent bank, the money will be transferred in minutes.