The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. Wired money transfer system MoneyGram is no longer new to us. According to statistics, every 4th person knows about it, or at least heard. MoneyGram launched a new in-person bill payment service which will be delivered through agents in their domestic network, giving consumers an easy, low-cost method to pay their bills. MoneyGram offers an efficient, fast and secure way to send money around the world. Millions of families depend on MoneyGram to safely send money home or pay the bills.