Delivery cost in both hospitals is no much different. https://www.moh.gov.sg/content/moh_web/home/costs_and_financing/HospitalBillSize/delivery_normal.html Thus, you can choose the hospital based on the facilities e.g. medical facilities, carpark, food variety. Most of my friends preferred Gleneagles as they find the services in the GEH is excellent. However, it is recommended that you book a hospital tour to understand more about the hospital and make decision based on your preference.
You can refer to this link for a great summary of the hospitals in Singapore for delivery: http://sg.theasianparent.com/pregnancy_gynaecologists_and_hospitals/ The last two pages focus on private hospitals so you can take a look at that. Also, there is a neat summary table of prices on the last page. You can book a tour with the various hospitals and see which one best suits your needs within the comfortable budget.
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thanks