I don't get why you would want the disposal on the washing up side?? Putting it on the small pan side allows debris to be placed in it without interfering with the washing. But, yes, call a plumber and they can redo the plumbing under the sink to do what you want. Or get rid of the disposal entirely.

The disposal side is so small. Thats why I want it moved to the bigger sink. The bigger sink is used for draining dishes. Seems a waste to use all that space just to drain dishes. I have a dishwasher so neither sink is used for "washing up" Just rinsing dishes in that smaller side is a pain, would be nice to have more room.

You can place your disposal wherever will work for you.

Absolutely. I always thought putting them on the small dish drainer side rather than where most of the "stuff" accumulates was dumb.

rwiegand,
It makes sense if you wash dishes in the sink. The big sink would be full of soapy water. You'd rinse the crap off the plates into the little sink before washing them in the big one.

But how it's set up should be dependent on how you use the sinks.