This afternoon I made about 1/2 gallon of fresh pomegranate-orange juice from the last fruit of our fruit trees. I used about a dozen super-juicy oranges, and the juice from 5 pomegranates. The Result: Wonderful (pun intended, Wonderful turns out to be the variety of pomegranate I used).
Although I've been eating fresh pomegranates for decades (and introduced my wife to them during an early hike/date), I learned two key pome-tricks only recently:
1) separate the seeds in a deep bowl of water. This eliminates nasty red wall- and shirt-squirts, and allows the seeds to drop to the bottom while the pulp-membranes float to the top for very easy separation.
2) to juice the little arils, place them into a tough zip-lock bag, and crush / roll with a rolling pin to break the skins and extract most of the juice. Then, add the bag's contents to a stainless or Teflon saucepan, add some water, and gently boil for about 10 minutes. Then strain the seeds and remaining pulp to obtain the juice.
We so rarely disengage auto-pilot - and when we do, we make wonderful juice.