Yes you can wash your clothes in your washer.
Got this from the CDC website
How should blood spills be cleaned from surfaces to make sure that Hepatitis C virus is gone?
Any blood spills — including dried blood, which can still be infectious — should be cleaned using a dilution of one part household bleach to 10 parts water. Gloves should be worn when cleaning up blood spills.
How long does the Hepatitis C virus survive outside the body?
The Hepatitis C virus can survive outside the body at room temperature, on environmental surfaces, for up to 3 weeks.
That would be on an undisturbed surface.
This is the hep c forum. For hep A and Hep B you should ask your question to those groups
Also hep A I do know is food borne not blood borne so likely no concerns with hep a blood.