On LinkedIn there is a perfect spot for a video - under your description (which everyone reads) there is a place for two pieces of media. The first one should be a video that tells people what problems you solve and for whom you solve them.
Because of it's placement, people will watch it. Most of them are the usual "I'm Joe Blowhard and I blah, blah, blah, synergy, blah, solutions, blah.."
OOOOHHHHH NOOOOOOO! Not me. I can't do it. Here's what I made instead.