After having the baby you will be moved to another room called the postpartum room. This is where you will spend the rest of your time in the hospital
Many, but not all hospitals have private rooms. Ask your doctor what the situation is at the hospital where you plan to deliver, this may help you decide which hospital you want to deliver at.
Most hospitals have a “rooming-in” policy, meaning that the baby will stay with you rather than spending much of its time in the nursery. Again, ask your doctor about the policy at your hospital.