Alright, I have a t2i as well, here are some general tips.
1. NEVER USE AUTO FEATURES. Except for colour/ white balance, because those are hard to learn, don't use automatic exposure, adjust the ISO, aperture, and Shutter Speed yourself. Colour correction can be done post production with little to no quality degrading.
2. Make sure to tweak the video settings. 1080p at either 30 or 24p. I'm not sure if T5i has 1080 at 60p, but the t2i does not. If you want to do slow motion, this isn't the camera, but you do have the 720p at 60FPS.
3. Make sure sound recording is ON or OFF, depending on whether you are doing a voice-over or not. Remember, don't use the internal mic, you can hook up a 3.5mm mic to the side.
4. Shutter speed should usually be 2X THE FRAME RATE. So at 30FPS, the shutter speed should be 1/60. For 60 FPS the shutter speed should be 1/120 (or 1/125, I'm not sure which option you have). For more motion, lower the shutter speed, but the cost is less light. But if your intention is more motion blur, increase the shutter speed.
5. MORE ISO=MORE NOISE. Don't push the ISO up too much, it is mainly digital brightness causes noise. In my experience anything over 1600 ISO is garbage, but that may be higher with the newer camera model, as I have the older but still AWESOME t2i.
6. A lower aperture means MORE DEPTH OF FIELD AND MORE LIGHT. I personally keep it low to achieve that professional look (f/4 or below), but with a more motion, things might get out of focus fast. Also, if you want to focus for many things at once, use a higher aperture, I recommend f/9 or higher.
7. EMPTY THE SD CARD WHEN YOU CAN. Do not fill it up. This is a high quality image and video recorder, you are going to fill the sd card up fast. Which leads me to my next point.
8. VIDEOS WILL HAVE .thm FILES WITH THEM. This is the thumbnail for the video, mainly for the camera. You can delete these, no worries.
These are general DSLR tips, I came up with them on the spot. I am by NO MEANS AN EXPERT, please find DSLR filmmaking tutorials on youtube for better and more tips. I hope I helped.