YOU SAID:

I had my hands full taking care of my own children.

INTO JAPANESE

私は自分の子供たちの世話をするのに手がいっぱいでした。

BACK INTO ENGLISH

I had my hands full taking care of my children.

INTO JAPANESE

子供たちの世話で手一杯でした。

BACK INTO ENGLISH

I had my hands full taking care of my children.