You are going to get a TON of responses on this one.
I worked outside the home with my first child and now I am a SAHM with my second. This is what I've learned....SAHM's are expected to do EVERYTHING. At least when I worked, the childcare and home chores were split, at least a little.
Also, most men get better as the child gets older. Many men are clueless with newborns. But you need to lay down the law now or it will never change. At least on the weekends, he needs to be there for you 50/50 and I HIGHLY recommend a Mother's Day Out program if you can afford it. My daughter went to a Mother's Day Out program for 2 days a week for just 5 hours but it was heaven for me and my sanity. It's very overwhelming esp. with the first baby, no one really tells you that some days you just want to scream and believe me, you do.
Here's one piece of advice and you need to do it. Pick a day when your husband is not working. Leave for the day and I mean the WHOLE day so that he, alone, can care for the baby. MEN have NO idea most of the time of what it is like. This is the only way they understand. And don't let him get away with taking the child to his parents house so they can help. He needs a day alone with the child to really understand.
I had to leave town for 3 days for a wedding that I "had" to attend when my girl was only 3 months. My husband was supportive about it but I soon realized how overwhelmed and frustrated he was. The first thing he told me was "Boy, I couldn't get ANYTHING done when you were gone, how do YOU do it??!" Hilarious but the BEST thing for him and me.
Hopefully, after that he will have some understanding and be willing to chip in more.