How can I download my collection of DVD movies in to Limewire?

If you mean sharing them through Gnutella Network (Limewire's main network), then you cannot share them as DVD. You will need to convert to a smaller format first (max. file size less than 2GB). We at this site do not have any tutorials on how to do this, because there are so many great sites already for that. Here are two, that are considered pretty much the best:

Doom9.net - The Definitive DVD Backup Resource

VideoHelp.com - Forum, Guides, Tools and hardware lists

OOPS! forgot I had already asked the question--thanks for the reply

One program I like to use is called Handbrake. However I use this program 'after' I have extracted the DVD TS_Video folder to the hard disk drive. Handbrake uses an advanced format ability of the MPeg 4 X.264 (H.264) format. I normally save them as mp4 files but you also have the option of saving them into video containor formats such as mkv & avi. There is a bit of a learning curve to using Handbrake. And using the extended X264 abilities will reduce compatibility generally, however produce a very high quality video file. Outside of some of the professional H264 formats, X264 is the best lossy video format around. Keep in mind high definition Blue Ray disks nowadays generally use H264 format.