AITAH for thinking of leaving my boyfriend because his behavior has gotten worse after the birth of our daughter?

I'm using a throwaway for this because my boyfriend sometimes uses reddit and I think he may know my main account and I don't want him finding this out.

We 22f and 27m have a two month old daughter. She is super colicky, she hates being put down, she cries so much. Her pediatrician says she's just a miserable baby and she will eventually grow out of it. My boyfriend wasn't the most supportive during my pregnancy but now that our daughter has all of these problems, he's gotten so much worse. He complains that we don't have sex enough, he complains she cries too much, he complains that he works too much and I'm a mooch for not having found a job yet. He often leaves me to manage everything while he plays video games or hangs out with friends. It's okay for him to go out and get drunk and stay the night at a friends house but he will literally time me when I'm taking a shower and blame me for the fact our water bill is too high. He makes me feel like I'm a failure of a mother because our daughter spits up so much we go through 4/5 outfit changes a day and he complains that its too much laundry. Some bill is late or behind and he blames me for not "contributing" to our shared bills even though he promised to take care of us both.

My boyfriend wont let us use any type of government assistance because he thinks that's beneath us. But we are constantly counting pennies and I have to go with out so we can get the special formula my daughter needs so she absolutely miserable all the time.

We got into a fight yesterday because I placed a walmart delivery for diapers, wipes, rash cream and I bought myself some chef boyardee cans so I can have something to eat while he's at work. He ended up screaming at me yesterday while our daughter was crying and threw a freshly made bottle at my head, giving me a bruise on my forehead. I just started crying because I felt so defeated.

I called my mom while he was at work today and just broke down. She said he's just struggling to adjust to fatherhood, and "this is what I get" for having a baby out of wedlock. She said she struggled hard when I was a child and this is my punishment for not going to college and being a "dumb sl%t". I get it some days because she was a single mom too but I remember being primarily raised by my grand parents and she's never even watched my baby. She doesn't want too because of her medical issues and has told me so.

I told my mom I wanted to leave him and she laughed and said I was being dumb and that he's "all I've got" now and she won't help me (this is after me begging her to lend me some money so I can buy my own groceries and I promised I'd pay her back once I find a job) anymore. Some times I feel like I am just not cut out to be a parent. I don't feel like a good parent. My mom makes me feel even worse about it and has told me I need to give my daughter to a better family and when my boyfriend is angry, he's told me he wished he had just left us so he wouldn't have to "deal with us" any longer.

I think I need to leave my boyfriend but I'm also scared to do that. Am I being dumb about wanting to leave him? Is my mom right? I don't want my daughter to grow up without her father but he stresses me out so much now I don't even want to be around him because of his behavior.

edit: my grand parents are dead other wise I would leave him and go live with them.I called the domestic violence hotline and they are going to put me in touch with shelters. I have seven dollars to my name and I put our important documents in the diaper bag. Please stop messaging me telling me I'm a dummy or I should have aborted my baby I can't turn back time now that she's here. I regret who her father is but I don't want to give her up. I want to leave him and I'm doing my best to get that in motion. I'm going to leave as soon as I can once a shelter has a place for us both

edit2: there is a domestic violence shelter but they won't have a space for us until next Monday. the shelter is going to put me and my daughter up in a hotel starting on Friday. I'm going to get a protective order against my boyfriend and try to get as many of our things out of this apartment until then. I've taken photos of the bruise he gave me. Going to be doing a lot of packing while he's at work tomorrow and Friday. I'm going to apply for as many social services as I can too and I hope I get approved for them fast. I'm slowly getting a plan together to fully leave him. I will update everyone again once we are in the hotel or in the shelter on Monday. Thank you to everyone who's offered help, a place for us to stay, offered food and clothing and stuff I may need once I'm in the shelter and back on my feet. I know I will be better off once I leave him so I just have to keep going until then