When the cut out is done, in most places, you need to use the Honey within a day or so. If you do not have Small Hive Beetles, you can wait. Since it is still winter, you definitely want to wait until spring and the flow to start to do this cutout.
Since it is illegal to open feed, I would put the honey comb that you want to give back to the bees in frames using rubber bands and freeze it. Then a week or so after you have completed the cut out, then add it to the hive. This allows the bees to get the brood nest in order and then deal with fixing up the honey frames. Bee sure to allow it to warm up before putting it back in the hive.
Jim