What would be the best battery solution (battery + charger) to power an Arduino Uno board and up to two HS-785HB servos (at 6V to have maximum torque)?
The Arduino itself can only provide 5V and the servos requires lots of current compared to it. So they cannot be powered from the Arduino board directly. But can I power both the Arduino and the servo using the same battery?
You can use a voltage regulator to increase the voltage to the microcontroller. Your battery should correspond to the servos and be from 4.8V to 6V and be able to provide about 1.5 to 2A continuously. Consider RB-Lyn-135, RB-Lyn-54 (connector) and RB-Gws-13 (and a power supply).