Our marriage is not as good ever since the birth of our daughter - how do I fix things?

Ever since the birth of our daughter, our marriage is not as good. We are fighting all the time. We mostly argue about the details on how to raise our daughter. I am finding that I am very angry at him for a reason that I can't pinpoint. The reason may be, though, that just before the birth, while I was getting ready for the baby, he was not very involved. I went out and bought toys and clothes and nursery decorations, pump, nursing pillow, blankets, baby tub, all that stuff, countless things, and he did not help with any of that at all. To his credit, he did get a stroller and car seat, but that was it. I also wanted him to read a chapter in a book about labour and delivery, and he wouldn't read it. I had to read it to him. The second night we had the baby at home, she cried all night, and my husband would not allow me to sooth her - he wanted to solve the problem. I wanted to feed her because I thought the baby was hungry, but he wouldn't hand the baby over. Finally I had to yell at him and he finally ped her to me. He also claims that I am "shutting him out" and not allowing him enough input into how to raise the baby, but I don't have the energy or the time to discuss (or argue) the details with him. For example, I gave the baby a bath yesterday and he was angry because I didn't consult him first. I didn't consult him because I knew he would say no, and after carrying around this baby for nine months, if I want to bathe my baby, I think I should be able to. I think he should have more faith in my mother's instincts. We aren't getting enough sleep (either of us) and we are both anxious about the baby, and we are not being nice to each other because we are both in the worst moods. How can I fix the situation?