You know, I pulled a "dumb american" move and assumed OP was in the U.S. I'll stand by the claim that what OP's trying to do is illegal in the U.S. and write the rest of this comment under the assumption that OP is in the U.S.
I suppose I'm also assuming OP doesn't have any special license to the content on the DVDs in question. But I'll assume they're talking about commercially available Hollywood movies for purposes of this comment.
Also, the backup copy provision isn't considered part of "fair use". Fair use is in 17 USC § 107. The backup copy provision is in 17 USC § 117. Whatever the case, nothing in what OP said indicates that anything they're trying to do is for purposes of "criticism, comment, news reporting, teaching ..., scholarship, or research".