I noticed you tagged website builder -- that's a no go for this application.
Open broadcasting uses a ton of resources (a lot of storage and bandwidth $$$) -- so minimally you would need a serious Managed WordPress host to start. Then, you would watch your performance (speed and bandwidth limitations) and upgrade to VPS/Dedicated/Cloud if/when needed as your traffic grows. "Unlimited" plans only go so far until your resource usage starts affecting other customers.
VPS/Dedicated requires a particular set of skills to manage, so if you are not a "techie" then start with Managed WordPress to get your feet wet and monitor your resources. (Or use YouTube instead of hosting streaming everything on your server.) Even then, I would have a phone discussion with any host you are considering and explain what it is you want to do and what they recommend. Some hosts scale better than others.
As far as a plugin round up, that's pretty unique to each site, theme specified plugins and features you desire.