What i do is:
1. wait until all the viable eggs have hatched before moving mum and chicks (usually 24 hours after the first egg has hatched - assuming you set them all at once)
2. Put mum and chicks in a small mini-coop with chick food and water, but keep them in the main coop.
3. Weather permitting, put the mini-coop outside on day 2 or 3 and leave the door open so mum and chicks can do some exploring and the chicks start to get some grit in their crop. The older hens seem to ignore the chicks.
4. After a week or so, i simply let mum and chicks out of the mini-coop, but leave it in the main coop so mum can take her chicks back to it whenever she wants (ditto on an evening time)
5. It seems that my broody gets fed up with keeping the chicks warm when they are around 4 weeks old (it depends on the number of chicks she has and temperature i guess) she simply goes to the roost and the babies follow. After that i remove the mini-coop - job done!
We all do things differently, so I'd say the best thing to do is read as much as you can and then do what you feel is best for you.
There's nothing nicer than seeing little chicks zooming around the place, so try not to be anxious and enjoy it!
All the best