hi dont know your skill level at MAYA so this is basic over view.
There are two 'ways' i would do it both start the same.
Position everything as if the character is holding the bowl (rotate/position the hands, fingers and arms and bowl), so find a pose in the animation that you want to setup the connection. Typically this is frame 0.
Once you have the bowl in a nice position in the hands you can begin the contraining.
Method 1 is to parent the bowl to one hand, then constrain the other hand to the Bowl. (using IK and parent constrain the IK to the Bowl, maintaining any offsets) This will mean the bowl and other arm will follow the animation of the initial arm.
Method 2 is to Parent constrain both arms (using IK) to the Bowl - this method means you have to animate the bowl itself to make the arms follow it.