Taking taxi home after birth

Hi Any mummies recently gave birth? Im due on june 2021. And i will be giving birth in SGH. I was wondering.. do i need to buy a secondhand carseat for newborn if i wanna take a taxi home or i can just carry my newborn without any carriers etc? I dont want to waste buying a carseat for my newborn cos my stroller doesnt need it and i dont own any car. And most prob i will be staying home till baby turns 1 mth old which, by then, i would have already bought a carrier or just use my pram if i wanna go out.