To put a little spin on things, i was in a similar position to your after my twins were born and looking back, most of the pressure came from myself. I felt constantly guilty that he was out working while I was at home and pushed myself to be the perfect wife/ mother - tidy house, meals prepared, shopping - i did it all. Because i didn't tell him how I felt he was quite happy to get spoilt like this and assumed I was happy too. Over time, through sheer exhaustion on my part, things started to slip and he started to moan about mess etc. Well, it all came to a head one day, he made some comment about the lunch dishes not being washed and i literally flew at him. After the ranting and raving had stopped we got a lot of things sorted out.
The biggest eye opener for him was when I went away for a whole day and he was left to deal with the babies from waking up to bedtime. made him realise that it wasn't so easy to keep on top of things and he had a lot more sympathy when things slid.
Is there anyway you could arrange to go out with friends for a day - if you're feeling up to it of course. Would probably do you some good and if you left a little list of things that had to be done e.g shopping, couple of loads of washing he would soon realise what you're up against every day.
Best of luck with it all, and congratulations with your new baby.