Having a child takes things to an entirely different level, as you know. Especially during those first few sleep-deprived months, it can be tough to cope. First, I have never wanted to be a stay-at-home Mom; there is nothing wrong with that. It doesn't mean you are trying to pawn your child off on other people or you love them less; it involves a choice, like all things. I mean, you wouldn't say that a mother who sent their child off to school, rather than home schooling, loved her child less because she chose to put the child's education in someone else's hands, would you? Everyone is entitled to their opinion, including you, but there is no one right answer, because we live in a wonderfully diverse world.
Have you been diagnosed with post-partum depression, or do you just eel like you have it? If you haven't already, please see a mental health professional to discuss this. If your boyfriend will go with you, even just to support you, it might allow you two the opportunity (if he feels comfortable, though it may take some time) to discuss that communication issues you are both having.
Having a new baby in the house can be tough, and I think every mother feels like they know more about the proper care of their child than anyone else. Your boyfriend may be feeling insecure and unattached at this point. It can take men longer to bond with a baby, and that is okay. Encouragement, rather than nagging, can be a powerful tool in fostering the development of that new relationship. If you are unsure, then consider your relationship with your boyfriend prior to the birth of your child; how were things then? Strong commitment? Open communication? Mutual respect? Loving relationship overall? If yes, then a lot of this could be due to the new stress. Also, does he say verbatim that the house is filthy and you are a bad mother, or is there a possibility that you are tired and maybe a little extra sensitive due to post-partum changes? I do feel that it is unacceptable if he is actually saying these things to you, but I do feel that the changes and challenges that men face as new fathers isn't always considered.
Keep your head up, and work on developing a routine (not a schedule) for you and baby. You are probably pretty close to the home-stretch when sleep becomes a more normal part of your life again. You are a mother; there is nothing you cannot do if you put your mind to it.