Inventory is decent now and interest rates are beautiful. Typically the spring market can produce more houses, however, there is a lot of inventory everywhere. Having said that, Hingham properties go very quickly when priced properly. If you're new to the area, you may want to see what areas you like first and get comfortable with the rhythms of Hingham.
Top rated schools and a commuters paradise make Hingham highly desirable.
Either way, fall market or spring, you can't go wrong.
You may want to take a look at Cohasset as well.
Congratulations with your new job! If you need any assistance, please feel free give me a call.
Best of luck.