If I plan on paying the federal taxes via online processor (lower fees than "charge my credit card" option), should I choose "I will mail a check" option instead?

Online processors include:

https://www.irs.gov/uac/pay-taxes-by-credit-or-debit-card


The turbotax option of "charge my credit card" shows a convenience fee of 2.49% of the total amount due.

Get your taxes done using TurboTax

Yes, if you plan on making the payment using the IRS processors, then you should select Pay by Check option in TurboTax.  It will produce a payment voucher for you, which you can throw in the trash (or not print) after you pay online.