Attention: Diaper question

To mothers of babies sleeping through the night, my son has recently started sleeping from 12 to 6:30. His diaper gets full by the time he wakes up. I feed him and change before I put him in his crib. Today was worse coz it was a bit cold during the night. He woke up with his over full diaper, his sleep and play and crib sheet fully wet 😣 what are other moms doing? Any recommendations? We use luvs.