Welcome to the forums ttheb1.
First off, you should use AnyDVD HD to decrypt both the dvds and blu ray. Let it run in the background and do the hard part of decryption. Then start DVDShrink to rip the dvd to the hard drive. You can select either the entire movie or just the main movie that way.
You can burn automatically with Nero (using one of the early versions, like Nero 6 or 7) within Shrink if you want. I very much prefer to output as an ISO and burn with ImgBurn, which is a highly regarded, free burning program. http://www.imgburn.com/
There is even a version of DVDShrink that can use ImgBurn automatically if you want Shrink to handle the entire process. Look in this thread at Afterdawn for the link, and how to install it: http://forums.afterdawn.com/thread_view.cfm/664041
If you run into a dvd with a lot of structural protection, use the built in ripper within AnyDVD to get the dvd to the hard drive, then use Shrink on the ripped files. To access the built in ripper within AnyDVD, right click on the fox icon at the bottom right of your screen and click on Rip Video DVD to Harddisc.
For blu ray, you should always use the built in ripper within AnyDVD HD, but for blu ray you should select Rip to Image. This will give you an ISO file of the entire blu ray movie on the hard drive and you can work with it from there. If it is small enough to fit your target BD-R, you can simply burn it straight to the disk with ImgBurn. If it needs to be compressed, you'll need two other tools.
The first one is Slysoft's VirtualClone Drive. This will allow you to mount the ISO and access the files within it. VirtualClone Drive is free to use. http://www.slysoft.com/en/virtual-clonedrive.html
The second tool is BD-Rebuilder. It is also free, but requires a few other free programs to work. Read the first post at the download site carefully. http://forum.doom9.org/showthread.php?t=143716
There are direct links to the free programs you'll need to work with BD-Rebuilder in that post.