You could leave them, the only successful cory I was able to raise was the one that I did nothing.
If you want to try to raise it's not that difficult if you have the time and patience for it. Cory eggs get very hard, so you can pluck them off with your fingers without doing any damage. You could put them in that 10, but I doubt it is a good idea. Cory cats don't do well with salt, so I doubt the fry would. You could get one of those small breading bins that attach to the tank which would likely be best as they would be staying in the same water. If you do that, attach the eggs to the sides and if there isn't water flow put an airstone under so they don't fungus over.
If they are fertilized they will turn a brownish color. Takes a week to two for them to hatch. When they do they will fall off the side and wiggle around. They are good food wise for the first 2-3 days and will at first look like eggs with tiny tails. After they eat the egg sacs they will need to be fed, and stuff like baby brine shrimp or any commercial fry food should be good. If you have some add some moss with them and they will feed on the microorganisms that grow on it as well. They grow slow so it might be a few months before they are big enough to go back into the tank safely.