fs454 said something very true, which you might already know, but I want to repeat it: Get a good lens for your body! Rather spend a little less on the body and invest in a prime lens.
Apart from that: You sound like you want the camera to be able to record video, but not really focus on that part. I can tell you: If you want some really professional looking videography (music videos, short films, etc.), a DSLR is a very nice way to go. However, if you just want to film some short clips and put them together for friends and if you don't really want to get deep into the filming business, DSLRs have some major disadvantages! The three most obvious ones are:
1. There is no autofocus. Be aware that this camera is not point-and-shoot.
2. The sound recording is bad. You will want an external mic or an additional audio recorder.
3. DSLR chips have "rolling shutter" which means you should not move your camera too harshly to avoid strange chip artefacts.
You can not just take a DSLR, know nothing about filming with it and point it at a scene. If you want that, you will be better off with a <300$ camcorder in addition. This will be point and shoot, it will have acceptable audio, autofocus and less rolling shutter. The main disadvantages are that is does not perform as brilliantly in low light and that you don't have the nice shallow depth of field. I have known many people who wanted to use their DSLR for movies and failed because they thought it would be as simple as using a camcorder.
So: If you know all that and you know what you're doing, go for the T3i or the 60D with a nice lens. It will produce awesome looking videos. But if not, think about what I said and maybe getting a small HD camcorder for your purpose (I actually just got an additional Canon HF R26 for about 300$, although I have a DSLR, for exactly such purposes).
