The most likely reason for your tax liability is due to Self-Employment tax on your freelance work. There are very few credits that will reduce the Self-Employment tax.
So, while the credits will reduce your regular income tax, they won't reduce your Self-Employment tax. If your expected withholding is enough to cover any expected Self-Employment tax, you do not need to make estimated tax payments.
If that is not the case, you can either make estimated tax payments or increase the taxes withheld instead of making estimated taxes.