Bank services of MoneyGram on money transfer are available only to individuals. Money orders and official checks by MoneyGram continue their steady performance and expanded line of bill payment services deliver excellent results. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. The Global Funds Transfer segment is the primary segment of MoneyGram, providing money transfer and bill payment services to consumers, who are often unbanked or underbanked. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.