Propranolol- Hospitalization? Side Effects?

[PandaNYC]

Hi, my baby daughter has a couple of hemangiomas and after seeing several specialists we have decided to start treatment with Propranolol. I am wondering did anyone take this medicine WITHOUT being hospitalized at first?

One doctor wants our baby to be admitted to the hospital for observation for a few days while starting the medicine, and another doctor just gave us a prescription and says no hospitalization or follow-up testing is needed (she was already cleared by a cardiologist). She is 15 weeks old but only 7 weeks past her due date (she was born 2 months early).

We are also wondering how rare are the adverse side effects such as bradycardia and hypoglycemia- did anyone have such problems while on Propranolol?

Thanks so much for your insight!