Money transfer system Coinstar Money Transfer is the fastest growing company in the market of remittances. Money transfer system Coinstar Money Transfer is a fast-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. 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.