We can help people make backups for their own use. And you can certainly loan these backups instead of using your originals....it keeps the original copies in much better shape. What we cannot help with is making copies and giving them away. That crosses the line on copyright infringement.
So, now that is clear, lets help you make a backup copy of your series. First you need to rip them to the hard drive. You should get DVDFab for this. There is a free section of DVDFab, called DVDFab HD Decrypter, which is the decryption/ripping section. It will continue to function even after the trial for the main part of DVDFab expires. You can find it here: http://www.dvdfab.com/free.htm
Next, you'll probably have to compress each disk to fit onto a single layer dvd. Commercial dvds are generally double layer in size, so you either compress them or burn to double layer blanks. If you burn to a double layer blank, only use Verbatim brand.
For compression of a series, I prefer a free program called DVDRebuilder. I actually use the Pro (paid) version, but the free one will work nicely for a complete backup of your series disks. You can find it here: http://dvd-rb.dvd2go.org/modules.php?name=Downloads&d_op=viewdownload&cid=14 Make sure to get the second download on that page...the complete installer package.
Using the HC encoder that is included, you'll get excellent results. The only drawback is that DVDRebuilder is fairly slow...it uses encoders that produce better quality, but are not nearly as fast as transcoders.
DVDShrink is a free transcoder if you'd like to try it. Just click on DVDShrink in this line and it will take you to the download page here at cdfreaks. You can make a complete backup to fit a single layer dvd, but most series disks are very large, and the quality will not be as good using this type of tool.
To burn to a disk I recommend ImgBurn. It is a free burning program, and you can set DVDRebuilder to use it automatically. We recommend Verbatim as a safe bet for media. For their 16x disks, burn at 8x or 12x speed.
For hardware, you'll need a dvd burner in your computer and sufficient room on your hard drive to temporarily store the videos.