I would highly recommend DSLR for short films over a camcorder. Just like most cinema cameras DSLRs are equipped with large chips and interchangeable lenses. Say you use a Canon T3i there is a very simple SD card hack that gives you tons of very high end features found on very expensive cinema cameras that really help. This includes manual audio gain (great for good audio recording without that auto grain crap), focus peaking, more ISO options, more frame rate options (record as low as fps for creative effects), hdr video mode, more shutter speed options (down to 1/24th, which is a huge advantage for low light), zebras for exposure and many more great features.
The large chip gives you better low light video with a fast lens as well as more ability to control the depth of field like in the movies where the background goes shallow. There was a time when people were paying $1,000+ for a silly 35mm Adapter that allowed camcorders to use 35mm lenses in order to achieve the shallow depth of field cinematic look of movies and DSLR stills. This adapter had light loss and often involved using spinning or vibrating ground glass. The light loss was from the camcorder having to film the projected image of the lens onto the ground glass. Yes, that used to be all the rave for indie filmmakers shooting with camcorders. Now looking back it's hard to imagine we went through so much trouble for "that look" now that it's readily available for a great price.
And for those people using the Sony Nex-5N or 5R, or other NEX APS-C Mirrorless cameras you can later upgrade it to nearly full frame with 1-stop faster sensitivity (already a great low light camera0 that for $600 that shoots 60p as well as 24p. The Metabones EF to Nex SpeedBooster adapter essentially turns these Sony's from APS-C sensors to a $1,000 or so very near Full Frame DLSR like the Canon 5D Mark III with 60p recording at 1 stop faster than without the adapter. Great way to upgrade the camera later on. No more 1.6x crop. A slow F4 lens becomes F2.8. F2.8 becomes F2.0. F2.0 becomes F1.4. F1.4 becomes F1.0. F1.2 becomes F0.9.
Anyway, I think the 600D is a great starter camera for indie filmmaking. It's not the sharpest 1080p around, but it looks movie like. I'd recommend trying out Technicolor Cinestyle or Marvel's Cine 2.4 profile.