I do almost all of my editing in Adobe After Effects. I decided to focus on After Effects as it is a very good tool for not just editing but also creating animation and overlays, some of which can be created and easily moved across from Adobe Illustrator. I also have video editing experience in Adobe Premier Pro and Sony Vegas.
Below is a video in which I wrote the script, I created a storyboard for the scenes and finally filmed it, using a member of staff to star in the video. It is an advert for a company-created product.
The full video/advert
Animation created in Illustrator and edited in After Effects

Image with brand colours created in Illustrator

Image created in Illustrator