http://www.aiseesoft.com/article/limewire-to-ipod.html
After you download video from limewire, just load it into Aiseesoft Total Video Converter and convert it to MP4 or WMV. Then you can use iTunes or Zune software to sync the video to your portable device.
Tips: If you use iTunes to convert limewire video, the output video may have no sound, because iTunes cannot convert muxed video (muxed videos are video files whose audio and video are on the same track, and QuickTime or iTunes cannot properly process this kind of videos). You can learn more info about muxed video by visiting: http://docs.info.apple.com/article.html?artnum=302588
If you have problems converting muxed videos, you can try Aiseesoft Total Video Converter, and it very well support muxed videos.
Part5. How to download free YouTube video to iPod, iPhone, PSP, Zune, etc
Video files downloaded from YouTube are stream videos (flv). You have to convert them to MP4 or WMV video to transfer them to your iPod, iPhone, PSP, Zune or cell phone. If you don't know how to download YouTube videos to your computer, you can refer to this guide:
http://www.aiseesoft.com/article/free-download-youtube-video.html
After you download YouTube videos to your computer, convert them with Aiseesoft Total Video Converter and use iTunes or Zune software to transfer the converted videos to iPod, PSP, Zune and cell phone. You can also choose to transfer the iPod or PSP files using the built-in transfer tools of Aiseesoft Total Video Converter.