Hiring a lawyer is not supposed to speed up the process. Besides, you have already sent in your forms, so hiring one now would be useless. Singapore is a slow processing office - CIC says 80% of cases are processed within 18 months.
Thought I was losing my mind for a second when I realized that he added this question after I had responded to his first! Brain is still intact.
canadianwoman is right. Hiring a lawyer or a consultant does not speed up the process. What hiring a representative is SUPPOSED to do for you is ensure that your application is done correctly utilizing the Act, Regulations and Manuals to ensure that your case has been presented in an honest and convincing fashion to the visa post. Getting it done RIGHT from the outset often makes the process faster. Many people do this themselves very successfully. Others don't. But hiring a rep after already filing would only really help you if you totally mucked up your application and had to withdraw and re-file.
canadianwoman, how was the move? Hope you are settled in nicely!