As a recent resident of that country I would question the sense of importing a car. Tax is horrendous and then you have to buy a COE and if the car is new there will be a commission to the official dealer. Importing secondhand cars is not straightforward either.
My apologies if you know all this already but Singapore has a reputation of being the most expensive place in the world to buy a car.
Now...... shipping cars out of Singapore.........that's a different matter!