There is information about neonatal intensive care unit (NICU) or a special care baby unit (SCBU) at each of the local hospitals:
The Rosie Hospital, Cambridge
Peterborough City Hospital
Hinchingbrooke Hospital, Huntingdon
The NHS website also has a page about neonatal care
Bliss is a national charity for babies born premature or sick. They have a wealth of information on their site including how to get support, explaining neonatal care, going home from the hospital, developmental milestones and more.
You can find out more about different types of units that help babies on the Tommy's website.
Neonatal leaflet for parents leaving neonatal from Bliss
Harriet's son Rowan arrived at 33+4 weeks gestation, and had a eight day stay in the Rosie NICU.
Rowan's mother Harriet tells us about his time in NICU at The Rosie. "Rowan arrived on 29.10.2019 at 33+4 weeks gestation, and had a happily uneventful 8-day stay in the Rosie NICU before transfer to a regional hospital for another 8 days before he finally came home. Our experience at the Rosie was INCOMPARABLY better."