Unless your laptop already has a cellular data card installed, it won't help you get hotspot connectivity. Your neighbor's iPad can function as a hotspot because it is a model of iPad that has cellular data capability built in. Since you already have a cell phone and service plan, you most likely would purchase a stand-alone cellular hotspot. This will provide you a connection to a cellular data network and a wifi connection to that data network for your computers, TVs and other devices.

As for streaming video through a hotspot, you better read the fine print and make sure that whatever data plan you subscribe to will give you enough monthly data to watch video without incurring overage charges.