DVD to PSP Video/Movies Converter Software
I use PSP Movie Creator it works quite well. If you have problems with it, the manual links you to free plug-ins which will make it work. The copying process is very fast and you can chose the quality of both video and audio. This allows you to decide how much memory you are willing to use. It also converts various other video formats to the PSP also. It auto-names your copied DVDs. When you connect the PSP to your computer by USB, it puts the converted movies in the correct PSP folder also.
I think this program is very easy to use and I like it's features. As far as your not wanting to look for other free applications... remember that this program's manual links you directly to the downloads. I am not saying that you will even have to use them, but for some DVDs you might.
Lastly, at $34.95, it isn't cheap. I've had it since it was released and at the time, I don't think there were many other programs to choose from. You might find something for less to your liking. I don't think there are any free programs that can do this.
If you chose to go with this program, I would be more than happy to help you out with any future questions. We can do it by private messaging.