In general ....
1. Larger Aperture. (small F/#) i.e. F/1.8 is better than F/8
2. Closer to the subject.
3. Position the subject so that the background is farther away.
4. Longer focal length. i.e. 200mm is better than 24mm
So use your existing camera gears and try to achieve the result.
Based on what you listed, I will try to use a telephoto zoom lens and zoom to a min of 100mm and set the aperture as wide as possible. Shoot outdoor during day time and have the subject closer to the camera and background (i.e. trees, buildings ...) farther away from the subject.
You just need to experience it.
Of course, a faster lens (lens can set to wide aperture) will for sure help.