I'm not a clorox person. I do pour white vinegar into the traps every now and then and then flush with hot water.
For health reasons I'm juicing veggies / blueberries every day and cleaning the food processor is a mess. I refuse to put that down the sink without straining it.
I do my dishes in a plastic dish pan so I can lift it and carry it outside or pour the water through two sets of strainers before it goes down the drain. One strainer is a basket type that sets in the sink and the other strainer is a very fine mesh that rests on top of the basket strainer. Between the two of them, they catch everything that would cause problems.