Basically, if you consider a VPS hosting for your live streaming, you might have to share your resources such as bandwidth and CPU. If you choose a dedicated server you will have a better streaming quality and dedicated server tends to offer you a high-speed network connectivity and capacity to handle high volume traffic. However, if your streaming webiste is about to launch and will take some time to receive high traffic, then you may opt for a VPS and when you start realizing that the traffic is increasing and will needs more resouces simply upgrade it to a dedicated server hosting package.
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dedicated server hosting packages offered by Bodhost, as all of their dedicated server plans are fully managed and provides a wide range of server management services.