TXMom, my previous post seems to have disappeared but take a look at my response to Bukit Hill (sic) or Holland V.
I think that with the space you're used to in Texas, you might actually prefer instead to live out towards the American school because it's much quieter and less built up.
You may also know that crime is v low in Singapore and I'd advise you to take a stick when walking your dog, esp at ngiht, only to fend off the other dogs that inconsiderate owners may not muzzle!
As I explained in the Bukit Hill response, all neighbourhoods will have plenty of locals now, the question is whether you can just go up to your neighbours and "borrow sugar". All my life living in an expat neighbourhood, either my family or the new neighbours have made the effort to say hi at least, some becoming lifelong friends even after repatriation. Some newcomers didn't and pretended we didn't exist.
I can't guarantee you will receive a warm reception from every local you greet because it isn't the culture to wave at a stranger here except in some circumstances e.g. next door neighbours or fellow dog owners, walking the baby. Hard to describe, luck of the draw. There's that thin ice you have to break after which most Singaporeans can't wait to show you around or help you.
If you're worried about creepy crawlies then I'm afraid you'd better not live in a house, esp the type you'd really like, i.e. the ones with lotsa greenery. Comes with the territory. At least you don't get snakes anymore! 
The Holland Rd/Bt Timah areas are generally the more expensive areas because they've historically been the expat areas. The East Coast now is seeing plenty of foreigners who like the seabreeze and proximity to the beach (nice to look at and walk along, but with Singapore being the busiest port in the world, you can understand why our beaches are not promoted)