Transfers of Coinstar Money Transfer are lightning fast. Transfer can be claimed from the time when it was given a unique number. Money transfer system Coinstar Money Transfer is the fastest growing company in the market of remittances. The benefits of remittances Coinstar Money Transfer: transfer time - 15 minutes. 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.