If you want to know the species, you'll need different pictures to use as ID reference points. For example, a close up of the claws (above and below), a close up of the back of the carapace to look at the cervical groove/areola (or lack thereof in some species) and a picture of the male's gonopods, if possible. It's easier to get these shots if you handle the cray and have it out of water (they can be out of water for a while, no issues, just be sure to handle them carefully, those claws have some power to them).
I can only ID a handful of NA species, but someone else might be able to if you get the shots mentioned above. And if not, take them over to bluecrayfish.com and look for "appy", he's great at NA species IDs (along with a few others, but appy is really awesome lol)
Anyway, your female should carry that berry for about 21-30 days before you see little babies clinging to her tail. And they should cling for about a week before they start exploring on their own, and at that point you should separate them from the parents if you want to keep them (most will females will start to look at the offspring as a food source at that point, and the male has no paternal instinct whatsoever, they'll just be food to him).
If you have fish in the tank, you should provide the offspring with lots of cover. Plants, rocks, cave decor, etc so they can hide from them and each other (siblings will eat each other, its unavoidable, but can lower the numbers by giving them a ton of space and hiding spots).
Real awesome looking crays! ^_^