Here's some basic info on the specs you've given.
Servos (like any other appliance) require some minimum current to work.
If a power source can provide that much current (at the required voltage), then everything should work.
Amp-hours is not a measure of current. It is a a measure of the duration of time for which that the power source can supply current. So a battery rated at , say, 1 Amp-hour could provide 1 Amp for a duration of 1 hour or a current of 0.5A for 2 hours or 0.1Amps for 10 hours.
So what you need to match is the current required by your servos and the maximum current that the power supply can provide.
Hope this helped. (this was my first post meant to answer a question