Mamas that BF -When did your LO start sleeping through the night? How did you do it?

His doc said he should be by 2 months. Is there anything I can do now to help him adjust to sleeping more at night? I'm so tired. I want to sleep in bed with my husband but baby prefers on my chest in living room. It makes me nervous having him on my chest. I want him to sleep in his bassinet next