Look at Panasonic or Olympus mirrorless cameras. Much smaller and lighter, excellent still image quality and some (not all) are excellent for video.
The best video performers are the Panasonic GH4 and the Olympus OMD-EM5mII but they are pricier than your sample set. In the under $1000.00 range, I'd suggest looking at the Olympus OMD-EM10.