for video....if you're on a budget, I don't think you should be looking at the best lenses from Canon. You could wait for the new Tamron 24-70mm f/2.8 IS, should be released very soon ($900-1000?), seems like a good all around lens.
I think the lack of image stabilization in fast top Canon lenses makes them too expensive for videographers. If you're going to spend a lot in a lens for video, it should have IS.
I'd get something similar to this set, there are other options but most have slower apertures.
Tamron 24-70mm f/2.8 IS
Tokina 11-16mm f/2.8
Canon 50mm f/1.8 or f/1.4
I think this should cover most of your shots, maybe get a telephoto later.
The tokina doesn't function well on full frame, I'd stay away from it.