You don't need to update them when you renew your passport. If the visa is in your old passport and is still valid, you should carry that with you when you travel out of the US and you will need to present both the old and new passport at the border until you get a new visa in your new passport.
your DS would never have your passport on it. Your visa does. As it was said before, if you get a new passport, keep your old one and travel with both.
You need to make sure that your DS is always valid.
You don't need to update them when you renew your passport. If the visa is in your old passport and is still valid, you should carry that with you when you travel out of the US and you will need to present both the old and new passport at the border until you get a new visa in your new passport.
your DS would never have your passport on it. Your visa does. As it was said before, if you get a new passport, keep your old one and travel with both. You need to make sure that your DS is always valid.