Hello Erin,
There could be a variety of issues that could cause your video to look “soft”. The first is focus — DSLRs can have a very shallow depth of field, especially in lower-light situations. If you have your f-stop wide open (like f2.8), and you’re zoomed in a bit, your depth of field can literally be just a few inches for clear footage. Which means that if your subject is moving around a bit, they will go in and out of focus as they drift towards and away from the camera.
What’s your ISO setting? Higher ISO settings, which you would need to shoot as the available light decreases, will add noise and decrease the crispness of the video.
When you create your sequence, what settings are you choosing? If you were to pick a sequence resolution of (for example) 1280×720, but then export to 1920×1080, that would cause softness.
Are you shooting in fully manual mode, or are you letting the camera pick settings? If you’re letting the camera pick the settings, you’re not as likely to get the best results possible. If you’re not that familiar with how the different settings affect your results, that’s worth investing some time in learning. You might find this article I did helpful: https://www.churchproduction.com/story/main/how_to_shoot_better_footage_manually
My best guess is it’s a combination of the lighting levels that you’re shooting under, the camera settings, and the focus/depth of field. The stock lenses that come with the cameras like the 60D (what I own for a DSLR) or the 70D are really hard to focus manually with great accuracy, which makes lower-light shooting for video a bit problematic. Try getting more light on your subject, and find a good balance between a higher F stop value to increase the depth of field, and higher ISO setting to get some for image brightness back up to where you need it to compensate for the higher F-stop value without adding too much noise into the picture.
Set up early before your next shoot if possible, pick what you think are the best settings, and shoot a short sample clip of you at the podium. Then, load it into your laptop and look at it full-res to see how it’s coming out, and adjust your settings until you’re getting the best you can get.
Hope that’s helpful!