Filling out a money order is a straightforward stepbystep process. Just follow these instructions and you'll be ready to send your money.You typically can't buy a money order with a credit card. Instead, you'll need to use cash or a debit card that takes funds directly from your bank account. Top 10 Best Money Order Near Houston, Texas ; 1. All checks and money orders should be made payable to the Harris County Clerk. All checks and money orders must be drawn on a bank located in the United States. 1. Fill in the payee's name. Put the payee's name on the line labeled "Pay to the order of" or "Pay to. Present originalacceptable ID .