YOU SAID:

my mom told me that she would buy me a puppy if i watched the neighbor's kids

INTO JAPANESE

私の母は私が隣人の子供を見たら私に子犬を買うと言った

BACK INTO ENGLISH

My mother told me I would buy a puppy if I saw a neighbor's child

INTO JAPANESE

母は隣人の子供を見たら子犬を買うと言った

BACK INTO ENGLISH

My mother said I would buy a puppy when I saw my neighbor's child

INTO JAPANESE

母は、隣人の子供を見たときに子犬を買うと言った

BACK INTO ENGLISH

My mother said I would buy a puppy when I saw my neighbor's child