are you talking about a data dvd or a movie dvd?
mac the ripper is ripping the dvd file to your disk, with no compression, so no quality loss. Handbrake will compress the file, so it will take longer time, will have quality loss, also will result in a much smaller file.
it purely depends on how you wanna store them
mtr: 100% quality, 4~6GB
handbrake: can be <1GB, 80~90% quality. take 1~2 hours to finish the operation, and if you do wanna use it, be sure to set the bitrate to be at least 1000kbps in order to obtain good quality.