Before we moved here from the UK, my son (18 months at the time) had already had the BCG vaccination at birth (I think they only give it in London). I also got him Hep A & B. Thypoid isn't needed here.
My daughter was born here, and she has had BCG and Hep B already - she will get Hep A when she is a bit older (currently 5 months).
Hep A isn't on the public clinics' schedule here, but most private doctors recommend it.
In summary, you should get your baby vaccinated with BCG, Hep A & B before coming here.