There really are only a few things to consider, choosing among all the 70-200s that are offered...
1. How much can you spend?
2. How big and heavy a lens are you willing to lug around?
3. Will you need top AF speed and accuracy for action photography?
The Canon 70-200mm f4s are a bit smaller and lighter than all the f2.8 lenses... about 2/3 the size and weight. Both the non-IS and IS versions are sharp. The IS version is the newer and offers some fo the best IQ of any 70-200. The Canon f4 zooms also sell without tripod mounting rings, but accessory rings are available (at additional cost, of course). The Canon tripod rings are fairly pricey. Third party clones. Both the Canon f4 are very fast and accurate focusing, with USM.
The Canon 70-200mm f2.8s are bigger and heavier. Both include a tripod mounting ring. The f2.8 non-IS is the oldest of the Canon 70-200 quartet and is a bit of a compromise on IQ, but has fast, accurate USM focus. The 70-200/2.8 IS Mark II is the latest and greatest, with top IQ, and priced to match. The now-discontinued 70-200/2.8 IS "Mark I" is still a very good lens if you can find one new-old-stock or used. If buying used, keep in mind that these are real workhorse lenses that few pros would be without, so you might watch out for copies that have had hard use.
Neither Sigma nor Tamron has offered lighter weight, f4 versions. But both have offered larger, heavier f2.8 70-200s. In fact, all the f2.8 zooms are relatively close to the same size and weight. Not enough difference to matter.
I don't know a lot about the Sigma 70-200/2.8s... there have been several versions, with and without OS (Sigma's version of IS), perhaps with and without HSM (Sigma's version of USM). If buying new, their current version has both.
Tamron 70-200/2.8 has also been offered in a couple versions over the years. The current version has VC (Tamron's version of IS) and USD (their version of USM). Again, I have tried it and can't compare IQ, focus performance, VC effectiveness. I have used other Tamron lenses over the years and generally find their quality quite high... but their AF performance has been a bit slower. They have been upgrading their lenses to USD fcous drive, which is supposed to help.
Someone mentioned the Sigma 50-150/2.8 HSM OS, too. I seem to recall it was also offered in non-OS version... maybe non-HSM, too. The thing I find odd about this lens is that it's a crop only lens that's just about the same size and weight as their 70-200/2.8 HSM OS that works on both crop and FF. I guess I'm just not sure what purpose the 50-150 serves... it if were smaller and lighter it might makes some sense, as a crop only alternative. But since it's the same size, the only diff I see is a somewhat lower price tag.
If I were considering either the Sigma or Tamron, I'd check out their IQ of course, but I'd try to compare their focus performance in particular. HSM and USD are supposed to be similar to USM, but that doesn't always seem to be the case.
Whether or not you need stabilization (whether on the Canon, Sigma or Tamron) really comes down to price... If you can afford it, get it. Period. It can be very helpful on these tele-zooms... especially if used on a crop sensor camera.
I currently am using 70-200/2.8 IS "Mark I" (for about 12 years) and 70-200/4 IS (for less than a year). Eventually I'll upgrade to the 70-200/2.8 IS Mark II, but am not in a big rush to do so.