With a zoom lens you can reduce drastically the number of lenses you need to carry with you, also you can use your time making good content instead of wasting it changing lenses over and over again, with a zoom lens you have more options when you shot, wherever you are, you are able to change the zoom level of your lens and still be able to frame your subject correctly.
With a prime lens you need to worry much more about where you are in relation to your subject, and most of the time, you might wish a different focal length for that situation. If you are starting making videos with digital cameras I recommend zoom lenses, most of the time you don’t need a focal ratio of 1.4, not even 2, that you find on prime lenses, the focal ratio of good zoom lenses is perfectly fine and you can still achieve beautiful bokeh shots it you want.
With a prime lens you need to move more in order to have your subject always in the frame, and this is not a bad thing, you can discover better locations and angles for making your frame looks better, also keeping a low focal length make the audience feel like they are in that place with the subject, instead with a zoom lens you can stay in one place and be able to shot many subjects, but than, you need to use a large focal length at some point, and the feeling that you give to the audience will change, as if the audience is looking at the subject from far away.