Hooray for a successful hatch! And remember the only silly questions are the ones you neglect to ask, we're all here to support & advise each other.
Once the hen has left the nest with her chicks you can remove the eggshells, so they don't attract flies or rodents. Often the broody hen will eat the membranes during the day her eggs hatch, I think they provide nourishment for her while she stays on the nest.
It's up to you how long to keep Mama & chicks separated. Some flocks are more tolerant of other hens' chicks than others, some Mama hens are more capable of protecting their chicks. You don't want to learn the hard way. It also depends on how much you can accomodate a family in a separate pen.
If possible, I try to keep my chick families separate if only to keep everyone in the flock from gobbling up the chick starter. It's more expensive and EVERYone loves it. I'd rather save it just for the chicks, and their Mama hens. Mama will probably want to leave the chicks after 4-8 weeks anyway -- maybe more, or less -- and you'll need to keep the chicks together for a few months after that.