Yes, move them in, split them up, give them real eggs, sit back and relax.
If you do move them in, they shouldn't get off the eggs for long just for food, drink and poop BUT they don't have brilliant memories (or they do but they are long term not short) so there's a good chance they'll go back to where the old nest was and sit there even though there's nothing there.
As they only need off the eggs for food,drink & poop you'd be best to leave them confined to the coop until hatching.
I was joking about the relax bit, what I meant was, start counting down the days, wondering if everything is going OK, wondering if you're ready for chicks, checking that they're still sitting, checking that they're eating, checking that they're drinking, counting down the days (twice), making sure you got chick crumbs or whatever you're going to feed them - the list is endless but it's all worth it to see a dozen or so little fuzzballs peeping out from behind their mum, then you can stop worrying about the eggs.....
....and start worrying about the fuzzballs !!!