How can I make large video files accessible to my students?

I record my ESL students’ speeches on a flip camera and usually upload them to Blackboard 6, where they can be accessed by students. Now, however, I’m using Blackboard 7, which has an 8 MB limit. Gmail has a 25 MB limit. My files are around 75–125 MB.

I have lots of students and I do this project several times per quarter, so I need to find an efficient solution. The options I’m considering now are uploading to a private YouTube channel and linking to Blackboard or just purchasing some server space. I’m cheap though, and I’d rather not use YouTube for class stuff.

Any ideas for a fix?