Recommendations for Streaming Video

One of the request I've been getting quite often this semester is to put video clips in our Blackboard course. Faculty members are bringing large quantities of video clips on copyrighted DVD's to me and requesting that students be able to access and watch them via Blackboard (our course management system). We or they have gotten permission to put these on the server. The problem is that we don't have a streaming server.

Does anyone have a good solution to meet this need? Streaming Video Hosting recommendations? Getting our own streaming server.... recommendations? I would love to know how other schools are handling this?