Dear Babybudgeter
I wouldn't write off Thompson Medical if I were you. The other private hospitals are much more expensive and the experience that Ruskie Dragon had, if repeated at Gleneagles or Mt E would have cost more.
For example at Gleneagles they charge you for everylittle thing, down to $14 per bottle of sugar water that they give the babies under bilirubin lights, and $5.03 for every sanitary napkin. They even charge you for the disposable razor to prep you and the alchol swab to clean wounds.
Ruskie Dragon's experience sounds typically Singaporean rather than specific to Thompson. Generally speaking the other privates are considered more flash, and the medical care, especially the nursing staff, is considered better at Thompson.
Most OBGYN's will deliver where ever you specify, but be careful about making a decision on who delivers your care based on someone else's experience of only one place. Go and check all the hospitals out yourself.
Good luck getting pregnant.