If I am sixteen, and my parents don't agree with me, and are super strict, am I able to move out safely or will they be able to find me?

In Utah, if you run away from home and your parents find you they can have you committed to juvenile detention (i.e., kiddie jail).

As a minor, you cannot leave the custody of your parents unless you are emancipated. The fact that your parents are "super strict" is unlikely to be viable grounds to grant an emancipation, and you will also need to show that you can hold a job and have a place to live.

If you move out, you will be considered a runaway. Try to sit down and speak with your parents like a young adult and see if you can make progress.