Help For Digital Camera ( Full List Included )?

Hello friends,

MODS: Please move thread if its in wrong section.

Need help to choose a Digital camera.

Budget - Max of 13000/14000 ( With 1/2 GB Memory cards + Charger + Pouch )

Requirement - Min 6 to 8 Megapixel
Optical zoom - 3 to 6 X
Good Battery backup
Good service support & after sales in India.
Can Record Video also, with TV out if possible
Amazing Picture Clarity is MUST.

Just wondering how All weather camera ( Only available with Olympus ) helps saving camera from water / rain ?

Here are few which I heard are good & short listed after checking various sites.

Canon Powershot A630
Canon Powershot A570 IS
Canon Power Shot A710 IS
Canon S2 IS / Canon S3 IS

Kodak EasyShare C763
Kodak EasyShare C613
( I heard All Kodak cams are battery hogger, Is it True ? )

Sony DSC W55
Sony DSC W80

Olympus Stylus 740
Olympus Stylus 750
Olympus Stylus 780
(All Olympus cams are Water proof, Shock proof. Does it really help ?? Can I take pics inside water using it ? )

Would be glad if anyone can help me choose a best one.

( Please give ur opinion about any other camera in my budget from which you are really satisfied )