There are many great camera's and encoders. We recommend the following professional camera and equipment that can be found at B&H Photo: PTZOptics - PTZOptics 20X-SDI Camera
Capture the video from the SDI cable into your media computer's USB using the Magewell USB Capture SDI Gen 2
Or you can capture the HDMI output of a camera:
For great sound, insert the audio from the mixer or low level output of the amplifier into the microphone jack of your media computer at the console. Use the free software OBS to encode your stream to livekingdomhall servers.