Yes, you can use Duracell batteries in your Vivicam 5100. Energizer, or any other good quality alkaline battery will also do just fine.
As for the second half of your question... I don't think you read my whole answer to your first one... ;-)
"... The camera doesn't have facilities to recharge batteries onboard..."
... which leaves you with the standard battery charger.
It is cool that you already have one! Just make sure that you have one which is certified to charge NiMH or L-ion batteries... you could have a fire hazard if it isn't. :-(
Fortunately, these days, even good quality rechargeable batteries and chargers are very affordable.
On the other hand, if it wouldn't offend anyone, you could exchange the Vivitar camera plus a few dollars for a much better quality camera.
I am sure the Vivicam 5100 is a good camera, but wouldn't it be nice to have the built in ease and convenience of factory rechargeable batteries?
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