Have you had a chat with your dd about what you expect, and consequences for not doing things?

Can you have a snuggly movie time while your ds sleeps in the day? That's both restful and a positive experience together.

I remember buying Liebling magazine every time we went food shopping, so he'd sit in the trolley and look at the pictures. (He liked Private Eye, his bestie preferred Farmer's Life.)

Fwiw, I can't imagine doing a 3yo Liebs and a baby! He was just not ready for it. But 4yo Liebs was tender, loving and caring with 1yo babies at nursery. Hope that encourages you.