Feels like I’m stuck living with abuser

He’s verbally & physically abusive. Also very controlling, he fights me while my 3 month old daughter is in the same room & he even threw me down & I somewhat landed on her. I have a headache from crying so hard. He spit in my face & was punching me On my legs. I need to leave, I have no friends or family to stay with. Even if I call the cops on him, I might have to get out because only his name is on the lease. I tried to call his mom so she could atleast talk to him or make him stop but her phone just kept going to voicemail. I could look into women’s shelters but idk how long the wait would be & also I work at night so Idk who would watch my baby. Usually he does but I want her & I as far away from him as possible. I can’t pay anyone because I just started back working so I don’t have much income yet. I honestly feel stuck being here with him. He also took my house keys off my key ring while I was giving the baby a bath. That’s his way of making me stay in because even if I leave with her, I have no way to get back in without keys. I really want to physically hurt him but I have a daughter to think about. I just hate this situation I’m in & can’t believe someone would be this evil to their child’s mother😢