YOU SAID:
going shopping to get eggs
INTO JAPANESE
卵を手に入れるために買い物に行く
BACK INTO ENGLISH
I go shopping to get my eggs.
INTO JAPANESE
私は卵を取りに買い物に行く。
BACK INTO ENGLISH
I go shopping for eggs.
INTO JAPANESE
私は卵を買いに行く。
BACK INTO ENGLISH
I go to buy eggs.
INTO JAPANESE
私は卵を買いに行く。
BACK INTO ENGLISH
I go to buy eggs.
That didn't even make that much sense in English.