The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. In due time MoneyGram separated from the Western Union and became an independent brand. The company continues to automate and enhance MoneyGram MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. 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.