Many excellent advice here. Maybe try to include him into the flow when he's home. For example, "DH, I'm going to feed DS now, could you please do the dishes, or you can feed DS with the bottle when I do the dishes". After a few times hopefully it will become a routine.
For men that think SAHMs do nothing all day, best way is too leave kid(s) with them when you go out for a (can be imaginary) doctor appointment etc, leave them a list of things that you normally do and see how they cope with it.