The benefits of money transfers by MoneyGram: no fixup (the recipient may request payment at any MoneyGram agent in the country of receiving). Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. 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. For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money.