Several years ago, I used to ride my bike every weekday morning from Culver City all the way to the end of the Ballona Creek bike path and back. It was really energizing and peaceful. It's a wonderful way to start the day.
When I was riding, there was one area that made me a bit uncomfortable because other riders were few and far between. I never had any problems, however.
Now, there are more riders and security cameras have been installed as well as emergency call boxes along the path. As a precaution, it's always best to bring your cell phone with you and to be aware of your surroundings. Enjoy the beauty, fresh air and sunshine, too.