I am 18 but live at home. My son is due 01/2018 but could come 12/2017. My parents want to claim him but I also want to. Who has the right to claim my son on 2017 taxes?

[Hal_Al]

it depends on other factors, mostly your income. If you were working and supporting yourself, then your parents probably couldn't claim you and therefore couldn't claim you child. Poster indicated that she expects a "refund" of about $500. That does not reflect sufficient income to be self supporting. Although 18 may be the age for emancipation, in most states,19 is the age to no longer be a child for tax purposes.

[Opus 17]

I downgraded my first answer to a comment because @DoninGA reminded me of something.

If you are under 19, or under 24 and a full time student, and you live at home, and you don't provide more than half your own living expenses, then your parents can claim you as a dependent.  And legally, you must check the box that says "I can be claimed as a dependent by someone else" if you can be claimed, even if they agreed not to claim you.  

Then, because you check the box that says "I can be claimed as a dependent", you can't claim a dependent of your own, only your parents (the grandparents) can claim the child.

However, if your income is high enough that you provide more than half your own support and your parents can't claim you as a dependent because of this, then you get first choice to claim your child.  Your parents could claim the child instead of you if their income is higher and if you agree.

[Hal_Al]

The money you hear about people getting for just filing a tax return claiming kids requires you to  have some earned income (wages or self employment). Without earned income, you are not eligible for the "refundable" Earned Income Credit or Additional Child Tax Credit.