Freaking Out, Stressed and Underappreciated

I am a stay-at-home mom. My girls are 10, 7 and 2. Nobody likes to help. I'm having issues with my husband. He always says I should try waking up at 6 and go to work. I complain a lot, he says. He cooks dinner. (He wants to and enjoys it.) That's all he does. We have two Labrador retrievers that he wanted and said he'd take care of. He doesn't. They are too strong for me to try and walk with my 2-year-old. He tells me he won't walk them because he worked all day and since I let the dogs walk over me we should get rid of them.

I used to work full-time before I had kids so I do know what it's like to get up and work. I feel helpless and useless and so unappreciated. He raised an ex-girlfriend's son before he met me so he thinks he can do a better job. Says if I'm so unhappy, I should see a shrink. He's tired of hearing me. We never go anywhere as a couple. He doesn't like to leave the kids and is basically antisocial.

I feel drained and tired all the time. I am sad a lot and then I get angry. I feel like I'm a single mother sometimes and that he really doesn't care. I've suggested marriage counseling and he won't go. He's a great dad but is lacking in the good husband dept.