Do I receive confirmation of my credit card payment?

No, a copy of the receipt can be viewed and printed by signing back into your account. The receipt is located in the left column under Payment Receipt. A pdf document will be generated for viewing and printing.

Is there a fee? If so, how much?

Yes, there is a 2.5% fee on the tax amount for credit cards and a flat fee of $2.50 for e-check. The fees post separately in your bank account. For example, if your taxes are $1,000 the convenience fee will be $25.00 for a credit card and $2.50 for an e-check. Fees are non-refundable for duplicate entries.