Try them all. First thing you do is look up (or ask the butcher) whether the cut should be slow cooked or pan cooked or whatever. Then you'll know if you should roast it, put it in a crock pot, fry it in a pan or put it on the barbecue. Knowing how it should be cooked makes it easier to decide because cooking method and time tends to be a bigger limiting factor in whether you're going to actually be able to eat it. For instance, I'm not going to barbecue or make a roast that takes 4 hours after work.
Female, 5'3", 50, Starting weight: 163lbs. Current weight: 135 (more or less).
I can squat 187.5lbs, press 75lbs and deadlift 200lbs