Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. 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. The company continues to automate and enhance MoneyGram 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.