While we teach our MS Video Editing elective classes on Macintosh computers, many of the concepts remain the same no matter what kind of software and computer you are using.  I realize that most people do not own a Mac, so here are my recommendations for editing video and authoring DVDs without a Mac. 

For editing video on a PC, I would recommend Roxio's Video Wave 5 Power Edition.  This is a powerful and affordable solution to editing video on a PC.  It also comes with a DVD authoring/burning component as well.  Consider adding ULead DVD Factory for more sophisticated DVD authoring.  Roxio Video Wave will cost a reasonable $99.00 while ULead DVD Factory is $45.