what equipment do I need to post videos to the forums

You can't. You have to find a place to host them, like YewToobe, and then link them here. The basics are you need some sort of camera, and now the options are endless, because almost any smart phone (which I do not use) can take decent videos.

You upload the thing to your computer, and from there upload it to the whatever website you are going to use to host

I AM NOT IN ANY WAY endorsing nor recommending YewToobe