Position allowance of 2000$! Am i right to think this is your rental allowance, if so it's too low, I'd squeeze for a minimum 2500 and expect it to rise when the economy picks up, that's for private condo
's. HDB which is government apartments vary from around 1500 to 2000 if i'm not wrong.
There are not many if any one bedroom apartments, and studio apartments in the city are around 3000 up.
The guy moving from Melbourne with 2 kids, is looking at 2500 and 3000$ for the average 2 bedroom 3 bedroom i suspect 3000 and up.
Maybe someone else on the forum may have a better feel of the market, I maybe 6 months out of touch and know rentals have dropped, quite a lot. so you may also be lucky.
Otherwise you can always share a condo!