Do and don't in a relationship

I'm having my 2 month old baby with the person I love and since birth whenever we argue is because of it. My partner is trying to be involved as much as he can at times I feel like too much as it getting me frustrated. We are in a relationship only about 3 year now but since we meet I feel like I was somehow chasing him and in the end we have the amazing baby and fight over it. Now I feel insecure and emotionally unstable atm, or this is how it feels. Yesterday we took a walk all together and I ended up having a go on him because since we left he swaddle the baby in the pram and I didn't wanted that because I knew will wake up and cry the whole time and when that happened I couldn't control myself and had a go at him. Now he's super upset and told me we can't go like this no more because of me he's afraid to have baby crying or going for walks as I will start off again. I feel vulnerable because I have no one apart him and I think at times I try so hard to please him and make everything right that when I'm out of energy all my frustration come together. I don't know what to do in times like this I can't even enjoy half hour alone anymore or can't focus to watch a movie. How are lonely women deal with their family or partners?

(Also we are not married and since a while now thats another thing that concerns me)