Seconding Dawn dish soap! For disinfecting I was recommended Simple Green - it has a strong minty smell, so first I rinse it off twice really good and then keep rinsing until the mint smell goes away entirely. Some people think of it as nontoxic because it's called "green" and is supposedly biodegradable, but it stings my hands and is definitely not safe in trace amounts so you want to wear dishwashing gloves and rinse everything really well, and be careful not to blast it with water to avoid any splashing back at your face or god forbid in your mouth.
eta: hmmm upon googling I see "Simple Green All-Purpose Cleaner is not a disinfectant and will not kill bacteria or viruses. " so maybe I need to switch to something else.