Anyone's partner having a tough time?

My partner is having a tough time with the newborn and the house cleanliness. He gets too frustrated during night wake ups and then can't go back to sleep after so I take the nights. I can't let him watch the newborn because if she starts crying too much or spits up he starts yelling. He's constantly getting mad at how messy the house is.

I'm finding I'm getting resentful because he sleeps all night, and he takes the morning, but wakes up with the toddler and newborn at 8 or so, turns on the TV and drinks coffee and eases into the day, washes bottles, then I get up and feed the toddler and then we're both go-go-go the rest of the day. I can barely pump because if the newborn wakes up while I'm pumping it's 50/50 whether I'll hear him getting frustrated with her and I have to stop early and take her. If he goes out with friends and my toddler pulls down clothes from the dresser and I can't get them because I'm holding the newborn, I'm stressed out because I know he'll get frustrated with the mess (he did).

Last night I talked to him about how his outbursts make me feel afraid to be around him, and he was just "it's not like I'm beating you" and said it's because we're raising our children in filth. Half rant, half advice post.