I will not recommend Nikon or Canon for video. We shoot video professionally and 1080p on a Canon or Nikon does not give you 1080p resolution. Think about it - the sensor is by default greater than 1080p, so there needs to be some way for the image to be converted down to 1080p. The way Canon and Nikon do it result in a 1080p video that certainly doesn't resolve the level of detail that *should* be in a 1080p video. Panasonic cameras on the other hand give you a video file with *true* 1080p detail. You only have to compare their clips side by side of things with fine detail like hair, sand, etc.
The GoPro Hero 4 cameras also produce true 1080p levels of detail and have ProTune mode for extracting details from the shadows and highlights.
With video, you'll be spending the vast majority of your money anyway on good sound recording (do not skip this) and support hardware / motion control - fluid heads, dollies, electronic gimbals (not the photography ones).