There are several key components to successfully setting up three-point lighting and creating a polished, professional video.
Establish your light's "motivation." Before you begin setting up your lighting kit, you have to know precisely what look you want to achieve and why. Lighting setups are never random. The source of light in your scene needs to make sense based on the environment that your characters exist in. Is it an overcast sky? Sunset? A dark alley? Once you have established the motivation, you can proceed to place and adjust your light kit to achieve that effect. (You may also want "unmotivated" light. In horror, having unnatural light gives the sense that something is off and unsettles viewers. You must still establish that beforehand.)
Consider light source size and distance. The size of a light source relative to the subject size determines how "hard" (sharp, distinctive edges) or "soft" (smooth, feathered edges) your shadows will be. A smaller light source creates harder, distinct edges, while a bigger one softens the shadows. In studio lighting, if you want a softer look, you place enlarging modifiers such as an umbrella, softbox, or another diffusion between the light source and the subject. Due to this relative size condition, the distance of the light source to the subject will also affect shadow softness. If you put the source closer to the subject, the shadows will be softer. The shadows will be harder if you pull the light back from them, making the relative size to the subject smaller.
Consider the intensity of your light source. "Brightness" is the measure of a light source's intensity. You measure it in lumens with a light meter. With LED lights, fluorescent lights, and incandescent lights, you control the output intensity, which affects the look of your scene. Brighter light will create harsher edges and shadows.
Consider the position of your light sources. Where you place your lights relative to your subject and the camera determines where shadows fall. This relates again to sensibly creating an environment—if your key light represents the sun, it should accurately reflect the angle and height of that source. How you position your fill and backlight affects whether there are deep, moody shadows or an optimistic, even light cast across your scene.
Test your setup. After you have determined your lights' motivation, their size, distance, intensity, and position, set everything up so you can see exactly how all the lights work together and whether or not their effect is precisely what you intended it to be. If it is not, make adjustments until everything is perfect.