Planning a quad copter. Recommendations, please?

I'm planning to build a quad copter for aerial videos. I've been experimenting a lot with a small single rotor but want to build a more stable and somewhat safer multi-rotor design that can carry a much better camera which weighs about a pound.

Total gross weight of a quadcopter capable of lifting a 500-gram (1.1 pound) camera, is estimated to be somewhere between 3500 grams to 4000 grams (7.7 to 8.8 pounds).

After doing a lot of research I've come up with a list some components that I think are matched to the task and would probably provide a reasonable flight duration.

Cobra C-3525/18 motor.
-- 430 RPM / Volt
-- Max Continuous Power on 6S Li-Po, 840 Watts
-- Weight, 253 grams

APC15x4E props.
Also considering 13x6.5E props.

6s, 45c 5100 mAh battery.

Estimated max weight: 4000 g
Thrust available: 11912 g
Percentage power to hover: 33%
Amps/motor at 33% = 7.4 amps each. 29.6 amps total, 0.49 amps/minute
Battery: 5.1 AH. 4.08 AH available at 0.49/min draw = 8:20 min flight duration.

Do the calculations above make sense? I was probably one of the worst math students, which is why I went into writing and photography.

It'll use an OpenPilot Copter Control board which has reportedly proven itself to be very capable of maintaining a stable platform under even adverse conditions.

My concern is whether the props are too big. I'm also considering 13" props.

Any recommendations?

Thanks in advance.
 

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