YOU SAID:
today I should start exercising
INTO JAPANESE
今日私は運動を開始する必要があります。
BACK INTO ENGLISH
Today I started the exercise.
INTO JAPANESE
今日の運動を開始しました。
BACK INTO ENGLISH
Today's movement has started.
INTO JAPANESE
今日の運動が始まりました。
BACK INTO ENGLISH
Today's movement has begun.
INTO JAPANESE
今日の運動が始まりました。
BACK INTO ENGLISH
Today's movement has begun.
That didn't even make that much sense in English.