I live in Siglap, we hear a bit of aircraft noise at certain times of the year (wind direction I suppose) but they don't come over our apartment (or anywhere near it) and definitely don't make the building shake!
Our windows aren't very insulated against anything, no need to keep the cold out so they're just normal windows (tinted glass against the harsh sun). The most noise we get is from these noisy Koel birds which start woohooing outside the window at about 5.30am
East coast is a nice place to live. I recently went house hunting elsewhere and didn't like the areas I looked at so I think we'll stick to the East. We like having the beach close by and it does feel a bit cooler near the coast compared to inland. The lack of an MRT nearby has never bothered us, there are plenty of buses, they get busy but they're frequent and you could always get a bus to the MRT which wouldn't take too long (the trains are as packed as the London tubes at peak times so bus or train, there's not much difference - MRT is a bit quicker but that's about it).