OK, having looked at this filter, in between the top connections for the hoses, there should be a lever, if you lift up on that lever, and unplug the filter this should stop any water flow. After you do that, lift up on the assembly for the water connections. The entire black section should come out. Then you carry just the canister to wherever you are cleaning it... When you get done cleaning, plug the black assembly back into the top of the filter, plug the filter back in, and lower the lever and this will open the water lines again.
Hope this helps.