Video Converter

Hi,

I've decided to back-up my DVDs onto my hard drive. I can't seem to find a good video converting software that does what I want.

I'm OK with my software that I use for ripping the DVD, and then that gives me the original file, which is usually quite big, several gigabytes.

So I was wondering if anyone knew of a video conversion software that could still give me good quality, so I could watch it on my 13inch laptop, but give me a fairly small size, like around 1GB

Thanks in advance.