I want to broadcast live video from a playlist created by me, but the actual video files (.flv's) are stored in some external file hosting which I can't admin, but it's currently allowing the use of flash players for playing its contents (progressively).

Which is the best solution for this? Can I use my current web server (Debian w/Apache) or should I use some specific server software? I've read some names such as Red5 and Wowza but I can't tell if those are solutions to my actual problem or how should I use them. Also, costs should be as low as possible for this project.