As Candice C mentioned, you should check with your Accountant as to what is a Personal expense, what is a Business expense and how to Categorize them.

Now whatever your Accountant tells you, you'll simply categorize each transaction in your Credit Card Acct.  Those entries will be reported in QBs the way your Accountant wants them. 

The payment for the credit card is simply just the payment for the credit card.  Nothing more, nothing less and does not affect what was a reported in the Credit Card Acct as Personal or Business.