Materials:

Dishwasher tablets
Organic bar soap
Liquid dish soap
Baking soda
Hot water
Steps:

Detach the burners and place them in a large bowl.
Drop in the dishwasher tablet, crumble a bit of the bar soap, sprinkle baking soda, add a squirt of liquid dish soap, and then pour in hot water.
Let everything soak for 30 minutes. Afterward, give them a rinse and ensure they're dried thoroughly before reattaching.