Okay, start up TDA.
Hit "Create New Project". Then "Add File", browse to your MPEG, click on it. A new window will appear with clip information.
Click "Chapter Cut Edit". (Here you can edit, don't worry about it for now). At this point you can also insert chapters, I recommend that for now you just click "Add" at bottom right and choose the option to automatically add chapters at a selected interval, say, 5 minutes. You can get fancy later.
Click "Okay" and return to main window; click "Create Menu" at the top. For your first go, just choose no menu from the list right under "Start". Make sure you see Firstplay action: Play all tracks. Now "Output", specify where to put the files and make sure "Create DVD Folder" is checked. Ready? Click "Begin Output" and away you go. Shouldn't take more than a half hour on a reasonably recent machine.
Now you can hit start again and return to the first window. From here TDA can burn your files as well. Do your first one on a rewritable. This will produce a properly authored DVD that will play on your standalone.
Good luck to you.
[EDIT] Forgot to add, if the folder is too big for a blank DVD5, run it through DVDShrink to compress.