Customer Credit Card Payments

I can no longer absorb the fees from customers choosing to pay by credit card. 

I am willing to pay the monthly service fee but I need customers to be charged the transaction fee. How do I do this through Intuit merchant services that I currently use?

I am investigating a different merchant service that solves this problem however it creates a different problem by not being completely compatible with QuickBooks.

(We have very few in-person transactions as most are phoned in or mailed and this vendor has set me up with a card reader which is handy but not necessary)

To the point, I need to offer customers the option of paying by card but I can't foot the bill for the convenience. I want to be able to use QuickBooks merchant service as I have been but only pay the monthly service fee and customer pays all other fees.

I am at my wits end trying to get this resolved and am grateful for any help.