YOU SAID:

I use to go out for visiting my mother

INTO JAPANESE

私は母を訪ねるために出かけるのが常でした

BACK INTO ENGLISH

I used to go out to visit my mother

INTO JAPANESE

私は母を訪ねるために出かけていました

BACK INTO ENGLISH

I was out to visit my mother

INTO JAPANESE

私は母を訪ねに出かけました

BACK INTO ENGLISH

I went out to visit my mother

INTO JAPANESE

母に会いに出かけました

BACK INTO ENGLISH

I went to see my mother

INTO JAPANESE

母に会いに行った

BACK INTO ENGLISH

I went to see my mother