One is perceived as negative and the other positive
This is the biggest difference between both love and hate. Love is seen as a positive and constructive emotion, whereas hate is seen as a negative and destructive emotion.
One is tied to negative actions and one tied to positive actions
There are things such as loving/hateful acts and things born or love or hate. Both appear to be similar in that they are attached to action, but love is tied to positive actions and events, whereas hate is attached to negative actions and events.