I am moving from Melbourne Australia ...my husband is a chef ..
we are a bit worry too ... the employer say that they will increase the paid in 3 months time (but depends on performance ) but we been tryin to ask them to increase the paid, but they say NO
forget it, stay in Melbourne, you won't enjoy Singapore on that kind of salary. taxes are cheaper here than Oz, but the rentals will blow your mind, you won't find anything comparable in Singapore for the money you are used to paying in Melbourne.
For $2k per month you will live in some dodgy HDB housing estate and be paying a large whack of your salary just on expenses, you'll have no money left over to enjoy Singapore, you will hate it and leave within 3 months.