Cheapie chopsticks I would think hot tap water with soap then wipe them down with coconut oil (which is antibacterial).
Even if there is a good way to dish wash them the heat and acids from the detergent will degrade them REALLY fast anyway. They absorb these detergent acids too.
Same with wooden cutting boards (and spoons) never dish wash them or they split within a matter of months from purchase.
My mom had a nice seasoned old cutting board that lasted through my whole childhood. Periodic oil treatments and maybe a touch of salt will do the trick. Use an oil that is high in natural antibacterial properties, coat them regularly. Once they are "cured" they can last many years.
@jespah,
Just use a knife and fork.
What a stupid thread.
@mark noble,
One again Mark your hatred of culture negates your personality.
@jespah,
yes dinosaurs had chopsticks. chopsticks are life we owe our existence to the chopstick gods definitely not the moose milk gods.