Congratulations on your new baby! We have an 8 month old so I've recently enjoyed her impact on our tax situation. Yes, you get an extra $4,050 exemption. So you're up to $12,150 in exemptions. Plus $12,700 standard deduction, if standard is your style. And, as if that baby wasn't cute enough, you get $1,000 credit. This is worth another $6,666 in deductions in the 15% marginal tax bracket.
So your baseline situation seems to be...
$82,000
-12,700 standard deduction
-12,150 exemptions
_______
=$57,150 taxable income (you are already at the 15% marginal rate)
That works out to be $7,664 in taxes
Then $1,000 Child Tax credit brings that tax burden down to $6,664.
Pretty good. Pretty. Pretty. Pretty good.