The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. Millions of people around the world trust MoneyGram, as the wired transfer system provides its customers with a reliable, fast and inexpensive service. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. AgentConnect continues to be an attractive alternative for businesses that choose to integrate their networks and point-of-sale platforms with the MoneyGram wired transfer. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.