Question : As a pregnant expat mom, would it be better to give birth to my child in this foreign city/country or my home country?

That completely depends on your situation and needs. There are plenty of mothers who go back to their home country to give birth, but on the other hand there are also may that choose to give birth here. Factors to consider are the availability of support, family and friends, being away from your husband, the costs involved, and the type of birth that you are planning for.