Forgoing a car will save you 100s of thousands USD. No point in owning one unless you are a banker or you have elderly family to take around who wouldn't do well in crowded transport.
I arranged to live with friends who rent an HDB (decently nice publicly constructed condos that are privately owned by Singaporeans). The property is probably worth 130k to 170k USD. Taxes per year are a few K on it I imagine. I pay $500 USD to rent. Like I said, it's pretty much dirt cheap for how nice it is. Only 45 mins from downtown. It's in the Sembawang/Yishun area. People joke that SG gov't should build a wall to keep us weirdos out of downtown/Sentosa :)
I have yet to go to a country that doesn't have at least one reasonable living situation under 1k a month. Even Switzerland!
That all said, could you disclose how much you're spending per month? How much on rent, for example? It seems property prices are insane (from the basic research I've done), hence my concern.