Unpacking is a challenge and adding your kids to the mix can make life complicated. However, there are several things you can do to help keep them occupied. Once the boxes are delivered, the fun begins. Your movers will put your beds together and if you have chosen to have your things unpacked, your movers will begin and start to put your things where you need them.
If your children are old enough to communicate, you could have them stay in their rooms and help give guidance to the movers, who are unpacking. If you are unpacking yourself, you can have your child start to unpack their room. You will have to help by giving them some guidance and opening the boxes. However, they will be glad to take ownership of the task. It will give them some control and feel empowered.
Once they have helped with that task, see if you can find other tasks that are age appropriate that will give them an opportunity to help without causing you major rework later. If you outline these tasks and reward them, it will work in your favor. They can put packing materials away and help breakdown boxes. They can help you unpack other rooms in the house that you feel they can do. They can also help wipe out drawers and lay shelf liner.
Keep in mind that your child is not going to be as motivated as you, so they may take a great deal of breaks. You can come up with activities they can do to burn steam. This way you will not be interrupted as much while you are busy unpacking. If you have an outdoor space for them to play take full advantage. Further, you may want to make it a priority to unpack their favorite activities so that they can occupy themselves with their new found items. It is a fine balance and taking the time for your kids will make all the difference with their transition.