I'll get you choostics you can eat with.

Is this sentence correct?

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@Hyun_lee Yes, apologies. using 'that' is correct and much more natural.

This is a good time to mention another grammatical rule. It is rarely correct to end a sentence with a "preposition". I think I can say never but I want to be careful! Prepositions are words like : with, as, to, from, for. Whenever you see a sentence that ends with one of these words, try to write it in a different way.
So I would change your sentence to :
I'll get you chopsticks for you to use.
or
I'll get you chopsticks so that you can eat.

Hope that helps.

I'll get you chopsticks that you can eat with.