To minimize disruption, perform the diaper change immediately before the night feed, followed by burping. It is crucial to maintain a 'no eye contact' policy; if they happen to smile or look at you, keep your responses neutral and do not engage with them. Some parents find success by offering a small amount of pumped milk in a bottle during the change, as this keeps the baby occupied and sleepy, though this strategy works best if your baby is already bottle-fed.