What are starting from ?. I assume you have recorded movies on a DVD recorder in DVD-Video format.
http://en.wikipedia.org/wiki/DVD-Video
If you have the mpeg2 content is contained in the .vob files in the VIDEO_TS folder. These contain other information but the video is mpeg2 programme stream format. Very often simply changing the .vob to .mpg will make these playable.
However if you have multiple .vob files you will need to join them into a single file.
Opening the first .vob in TSmuxerGUI and then dragging the rest from Windows Explorer to the join button and then re-muxing to a transport stream .ts file should do the job.
If you want to actually edit the content then the best software (It's not free) is Videoredo Plus. You can download a free trial.
http://www.videoredo.com/en/ProductPlus.htm
Either of the above will not re-code the content (except for edits in Videoredo when your edit falls in the middle of a GOP group (Group Of Pictures). As only the GOP either side of the edit is re-coded it's still very fast. You are talking a few minutes (not hours).