I need to remove logos, etc from footage. It's easy enough with static shots, but when the logos are moving, I'd need to keyframe the layer mask.

I use Corel VideoStudio because it is cheap and does 99% of what I need it to do. But it doesn't do this.

Any suggestions for programs that can? I am happy with VideoStudio and don't want to spend a lot on another program just for this one aspect.