After being denied for the apartment that we really wanted because we have an infant, I was starting to get nervous about the housing situation. But God changed the heart of the landlord and upon second request (with a little sweet talking from our contact in Singapore), he agreed to rent to us! Here is a picture of the apartment.
Turns out, most apartments in Singapore come partially furnished. That will be a blessing for us (provided the furniture isn't nasty) since we don't really want to purchase much while we're there, since we're only going to be there two years.