This first week was a short one, and there's still tomorrow to go, but so far cash handling has been successful, I'm going to come in under my numbers.
I think though that I will make one modification to the plan: whatever I have leftover in cash for the week goes straight into the savings account as a deposit when I withdraw the next week's budget from checking. That way, the money's just out of the loop, I have no incentive to spend it, and it's earning interest.