How do I tell my boyfriend to wash his hands without offending him?

When I moved in with my boyfriend I noticed that he does not wash his hands. He doesn't wash his hands after he uses the restroom and often forgets to flush the toilet. We went out all day two days ago and I seen him shake people hands, touch stuff, etc just to come back home and start eating with out washing his hands. We ordered delivery today and was going to share food but once I seen him go in the bathroom and not wash his hands and then dig his fingers in the food. I immediately felt sick and lost my appetite.

How do I get him to wash his hand and flush the toilet with out offending him.
How do I tell my boyfriend to wash his hands without offending him?
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