@Candice C 

There was really nothing wrong with what @JessT  stated, that is actually the answer I was looking for.  I just wanted to know for sure, if I told a customer "you will see XYZ on your bank statement" that I had the correct information for what XYZ would be.  

I actually have been using QuickBook payments for a long time for another business, but I never thought about what it said on the customers bank statement.  This new company deals with a more specific clientele, a little more on the high side of life and I just wanted to be able to tell them what they might see on their bank statement.

I personally have no worries on fees and such, since I have been using since back when it was Intuit Payment Network, I think was the original name.  But thank you both for the information.