The Church Online Platform integrates with quite a few video-streaming providers, and these are some of the favorites among churches using the platform:
ChurchStreaming.tv
A video streaming platform specifically designed to meet the needs of churches.
http://churchstreaming.tv/
Light Cast Media
Easy to use with simple uploading and management tools.
http://www.lightcastmedia.com/
Stream Monkey
Several plans to choose from and service that caters specifically to churches.
http://www.streammonkey.com/
Livestream
Strong track record of reliable service.
http://new.livestream.com/
Media Fusion App
Cost effective streaming with no contracts, designed specifically for churches.
http://mediafusionapp.com/church-media-player/
Resi
Automated live and on-demand streaming platform to your website, social media, and multiple locations.
https://resi.io
Open Idea
If you're planning to create a Church Online experience with the free Church Online Platform, research streaming providers to find out which will best suit your needs.