Personal development is a key foundation to connecting deeply with the self and elevating towards our higher self. Use the chakra mantras as a guide when you are meditating (whether, seated or in moving meditation) gently connecting into the deepest parts of you, one energetic chakra at a time. 
There is no right way to use them. Read through them and notice what resonates for you in this moment (which shifts and changes every day and throughout the day.) Stick with one or combine a few together. This is your practice and these mantras are a tool for you to deepen it. 
 
Self inquiry isn't easy, but it does help us become closer to living authentically. Note which one(s) you have more resistance to and which resonate within. You'll be amazed to discover what your inner voice has to say!