Husband slept on the couch

We started arguing last night on who should put the baby to bed (baby fights it so it's a chore). I said I put him down for his nap during the day so he should do it at night. I'm  2 months pregnant so by the end of the day I'm just exausted. My husband said neither one of our jobs is harder than the other, and then it just turned into an argument. He said non of my actions show that I care at all for him. (He says he shows he cares by taking out trash and cleaning cat litter, I do al the other chores and cooking and laundry and grocery shopping so how is that. It caring too?) He's like 100x more sensitive than me when it comes to getting his feelings hurt. Our last argument was over same little things and he said he considers killing himself but the baby is the only thing that makes him want to live. I'm just so stressed that he's always picking an argument and saying I don't care. I don't even know what to do anymore.