Family history and Personal Progress are great friends. Different aspects of family history are suggested as projects for many of the Young Women values, including Faith, Individual Worth, Good Works, and Integrity. And now it's easier than ever.
And also, it's Individual Worth value experience #6, but it could easily turn into a project for several of the Young Women values if you spent enough time on it. I know interviewing my family members would take at least 10 hours. I could spend 10 hours interviewing my Grandma and she wouldn't run out of things to say! This project is just waiting to be completed! It's so easy! And there's no reason not to use family history for several projects. For example, one project could be finding your ancestors and another project could be performing their baptisms in the temple. You probably would have gone to the temple anyway, but you might as well do Personal Progress there.
The reason family history is in Personal Progress so much is that family history can help youth progress in a way that nothing else can. And it's personal!
Family history is not just a good thing to do because it fills up your time; it makes you want to be better. It focuses you on the temple. It improves family relationships.
The last page of the family booklet has this quote from Elder Bednar:
“I promise you will be protected against the intensifying influence of the adversary. As you participate in and love this holy work, you will be safeguarded in your youth and throughout your lives.” “The Hearts of the Children Shall Turn," Ensign or Liahona, Nov. 2011, 27. What a great promise! And I know that it's true.
*Personal Progress is a program that LDS young women complete between the ages of 12-18. Young Men also have a program, but I am not as familiar with it because I am a girl. If you know how family history works into the Young Men's program let me know in an e-mail. I don't mean to exclude the boys. Thanks!