I have to say, my DH always says he's tired, partly it's something to say, partly it's attention seeking, which I think lots of men do when there is a baby in the house.
TBH I'd have no patience with a DH like Sheepgirl's, but I think Sheepgirl that your approach is a bit wonky.
Your dh gets home and sees baby fast asleep, you sitting serenely in a chair, kitchen tidy, no evidence of you faffing about with bottles etc.
At the very least, I would sit down after putting baby to bed, have a rest, then start with tidying kitchen etc when DH gets in, let him see what has to be done, maybe ask him to help ("just pass me the ....." or "could you just dry this ....")
TBH with a young baby I think it's a shame that Daddy doesn't get to see them, do the occasional bathtime etc in the evening.
I'd be very inclined to move your baby's day down an hour or two, (maybe longer/later naps), so your DH is sharing in parenting, not JUST bringing home the bacon.
The quicker/easier alternative of course, when he asks if you can serve his dinner, is to reply "Darling, I am your wife, mother to your child, your soulmate in life. I am NOT your blardy servant. Now I've cooked it, surely you can at least PUT IT ON A PLATE yourself."