Get the 70-200 f2.8L II. I got mine when I had a 60D, then I added the 7D, and now the 5D3. Crop or FF, this lens is my most used lens by far. It rivals primes in its range for IQ and its AF and IS performance is top notch. There is a reason why this lens is popular among photojournalists, sports, and wedding photographers.
If you go the prime route, I think you will regret it. You will end up making what might be a tough choice of which lens to leave home, or do I bring them all? If you bring them all, you will constantly be questioning whether you have the right lens on the camera and may spend too much time changing lenses. Plus, you need to figure out how to carry it all.
I carry two bodies, one with a short zoom (17-55 2.8 on crop, 24-70 on FF) and one with the 70-200. Whether I'm shooting events, sports, travel sightseeing, or the kids playing with the dog outside, the 70-200 is the lens that I grab most often.
Of the three primes that you mention, the 200 2.8 offers no advantage over the zoom (save for weight). The 135 is a great lens and can give you tighter DOF. It can also offer better low light performance if you need faster shutter speeds. But, if shooting candids, I'd rather use the IS on the slower zoom. I can capture good candids at 1/40 with this lens and no camera shake.
The 100 2.8 offers much better macro than the 70-200. You didn't mention the need for lots of macro work. If this is a must, then a dedicated macro lens may be a must.
As mentioned before, start with this zoom and specialize later. In my case, I love the 24-70 2.8, but I'm considering the 50 1.2L for poorly lit venues. (Actually, I'm hoping that Canon updates one or two of its 50's very soon.) It would never replace the 24-70. If I go with a fast 50, it would be for special circumstances.
For what it's worth, I will often take one body with the 70-200 and the 40mm pancake to kid's sporting events. The 40 is a great backup for team photos. It's cheap and easy to carry in a jacket pocket. Still, I rarely use it because even with team photos, I often have enough room with the zoom at 70mm.