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From my experience with motors, they spike for a very short amount of time. You may only be getting a current spike for 0.1-0.2 seconds, so smaller caps may suffice.What's the likely hood of every servo spiking at once?
Sounds like you're making a Quadroped, or something else that stands up on power up.Staggering the power-up would be the easiest way of doing it.
As a final project in school, my partner and I made a hexapod. We had 18 servos (3 DOF legs), and a LiPo battery (11.4V I believe)from an RC car. It was happy when it started laying flat on its belly, then all the legs would push it to standing positions.I think it depends more on your battery, if it can provide enough current. If its a lithium battery, it should be OK, because they have high discharge rates. With a NiMH you may have more troubles.I think only if your battery is insufficient, would you need caps to help it.And even if you do use caps, you'd need a delay after your robot is powered on. It cant stand up immediately, you would need to give the caps time to charge, else you're just increasing the load.