Meditation is really just a "slowing down" of the thinking processes and/or a "letting go" of worries/ anxieties - with the added benefit of "loosening" our attachments to ego-identity.
It's a way to both relax/ release built up tensions and to take a moment to see things from a fresh perspective, since it tends to clear your mind with continued practice.
I don't know if you're after specific suggestions for how to meditate or practice "mindfulness", but, if you are:
1.) a lot of people practice observing their breath (inhales and exhales) as a form of meditation and it works well for them.
2.) I don't get great results from suggestion #1, myself. I achieve more calmness and clarity of mind by instead placing my hand on my heart and focusing my attention on the sensation of the heart region of my chest, where my hand(s) rest.
In any case, the point is to become more aware of processes outside of your daily thinking habits/ routine - to both "expand" your awareness and lessen the strength of your thoughts over how you feel.
RE: NTSH