What will you be shooting?
If artistic/narrative, like short films or nature scenes where aesthetics are a concern, a DSLR can give you characteristics like shallow depth of field (blurred background) and will typically have full manual control over the exposure, aperture, ISO.
Camcorders typically have less control/more auto functions, although there are some exceptions to both DSLR's and camcorders in that regard.
If for things like comedy, vlogs or general purpose, a camcorder is a better choice as it doesn't require detachable lens, will have built-in stabilization without the need for a tripod, larger battery capacities. In general, a camcorder will be simpler to use than a DSLR.
Camcorders can shoot continuously for long events, while DSLR's typically have a time limit or may overheat after a long period of time, although there are exceptions such as the Panasonic GH2/GH3, (actually "micro four-thirds" cameras).