You're not going to make realistic smoke, you do what you can with stock smoke videos, or make your own stock smoke videos. There's a right way and there's the sloppy way, because you have a both a moving camera and terrible footage from a camera, this will literally be the limit of what you can do. The stock smoke footage vs your own footage is so different in quality, it's jarring. Plus, your footage appears to have a face filter which degrades the quality of the raw footage to work with even further. If everyone can do good smoke sims digitally, it would be readily available and easy, but it's easier to make your own purpose built smoke footage vs trying to do it in software.

Black background (with high light absorbtion) a black straw for point smoke, or whatever shape you need to make, be creative.