Just a few tips:
1. TA doesn't update progress on this achievement for some reason (at least it never did for me), so track it via the achievements app or smartglass or something.
2. Hulu only updates the total minutes watched when a video ends, or is paused. So, if you get a "playback error" or lose power/internet, you will lose credit for anything you've been watching.
As per Apostle92627, this may be fixed now. See comment below
3. You can turn on "Autoplay" in the settings and it will keep playing stuff without any effort on your part. I did that for my last few hours of this achievement. I put on a movie at night, and when I woke up the next morning, it was still playing a (different) movie.
Other than those few things, just kick back and binge-watch some shows!