Hi M.--
I'm so sorry you're in this situation. I'd have to disagree with a lot of the responses here and say that this is NOT true of all stay-at-home mother situations. I think you've received some good advice here. I'd try some of them, making a list of everything you do all day, getting daycare prices. Personally, I'd hire a cleaning lady. Even a good scrubbing every two weeks can make a huge difference and not cost too much.
I wouldn't argue about it though. Just state it as fact. Tell him you can't manage to do it all and you expect his help. Then follow through. If your husband is a bit sexist (and it sounds like he is) don't play into it by being the shrill harpy woman who complains all the time. One thing I did with my husband (who is willing to help, but has ADD and doesn't see the things that need doing) is assign him a couple big jobs, like my husband does all the dishes. You'll probably have some days where the sink is full, but at least you won't have to do it all. I would definitely recommend you don't do it all.
One of the keys for us was defining everything really well. We made a schedule of who had to get up with the kids early on which day and we assigned the dishes and the laundry duties. It sounded sort of crazy and anal retentive to me at the beginning, but it takes all the resentment out of things when you know what you're expected to do. There's no more pretending to be asleep when the baby cries or being angry because the dishes are dirty. You actually work as a team.
If none of that works within a reasonable period of time, tell him you want to go to counseling. Hash out an agreement there and get it in writing. (just the threat of counseling usually scares most husbands straight!)
Hang in there and don't let him see you sweat. : )