I am afraid so..that you will have to depend on buses if you are not taking the train, east coast is currently not as accessible by trains, there are a few stations like Kembangan, Bedok, you can consider closer to these routes.
Otherwise, you can also live near a place that offers shuttle services- busplus, they move around Tanjong Rhu, Bayshore Road areas and to Raffles vicinity. (Not sure where you work though).
You can visit these few links for more routes:
Bayshore Park to Shenton Way:
http://www.busplus.com.sg/serv_541.asp
Meyer Road to Shenton Way:
http://www.busplus.com.sg/serv_547.asp
The public buses in the peak hours of the morning and evenings are more crowded, but again, the frequency is somewhat like every 10-15 minutes to service the peak hours. Normal off peak hours are like 20 minutes intervals?
I think this hasn't changed although I haven't taken a bus for ages.
