A Breastfeeding or Lactation Room is a private room other than a bathroom, that is shielded from public view and interruption, and is used by mothers who breastfeed or express breast milk by breast pumping.
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JFK Airport Terminal 4, Level 3 Private Family Room
JFK Airport Terminal 4, Level 3 has a Private bathroom with a seat that can be used to sit and nurse if you don't have access to their lactation pod. There's also and a baby changing table to change your little one's diaper.