One of the tags on the first link is "red". Not that it's what camera is used. And it's not a consistent tag across all videos. I always add a tag for my camcorder and mic on my vids. At least anything made in the past month or so. You have to know they exist first. But given the motion (and apparent lack of rigging) and the lack of artifacts from it, it's likely a high end camera. That much hand-held-ness on most consumer cams would blur or breakdown bitrate wise pretty quick. Especially in low light.
Agreed
If you want to look into Digital camera look at the Sony Hx9v & hx100v or the Panasonic GF2