I’ll tell you a secret: Your kids don't care if you bring the foldable kitchen or if your picnic table has a tablecloth. They don’t need clean clothes every day, complicated toys, or fancy meals.
Kids are surprisingly tough and as long as they’re safe, they’re fine on the floor of a camper, sharing a mattress, or squeezed into a tent.
I prefer to sleep in regular bedding (sheets and a comforter). The kids use sleeping bags. We bring extra blankets if needed and pillows from our beds.
As for all the other tools, try to stick to the bare minimum. Remember that you can wash dishes and re-use them instead of packing more.
Throw all the other random family camping essentials into your camping tubs too. You know, the bug spray, flashlights, matches, and first aid kit.