Currently, you’re only able to import customer, vendor, account, and products and services information to QuickBooks.
Though we’re unable to suggest an application for you because we want to choose the app of your preference.
Once you found an app, you can contact their support team. This way, they can help you integrate to QuickBooks and properly imports your bills.
You can also read this article for more information about the importing data to QuickBooks.
Please let me know if you have any other questions or concerns.