I looked that up, its not true. Harvestmen (a type of daddy longleg) have no venom glands at all, and are not venomous. Cellar spiders, the other kind, do have venom and short fangs, though they can bite. Its not serious, and it'll only result (in a human) in a mild burning sensation that goes...
The most common spiders 'round here are grass spiders and wolf spiders. Grass spiders are very distantly related to Sydney Funnel Webs which is the one in the vid.
I know, I do too Did I tell you what happened when a grass spider landed on my arm? The world had never seen such chaos. But at least they take care of the flies. Though, I see no reason for spiders like these: