I'm still new at this as well, but maybe I can offer you some tips.
First, I would take into consideration the amount of work you're signing up for by caring for the young versus how much you're willing to do. I've got my hands full with my first 11 larvae - I can't imagine caring for an entire clutch! Decide how much you'll be able to handle and go from there. Eggs can be destroyed humanely up to 5 days after they're laid, I believe, so use that time to decide how many you want to raise. This is all assuming, of course, that you're new to raising axies from eggs.
Second, it is my understanding that the eggs aren't too difficult to remove, but it is easiest if you can remove whatever they were laid on. This may not be possible, though, as it sounds as they they are scattered everywhere. Pretty typical. Just use some care to gently pry them off of surfaces and set them aside into a separate container.
Be sure to place the eggs into a container with cool, aged, and declination water. I would use some from the parents' tank, but I doubt it's critical that you do so. When I received my eggs from Bette, I simply placed them into water that I had declorinated and set out for a few days. No problems.
Axies eggs are pretty darn tough, as I have recently learned. Have fun!
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