The guilt is the worst part honestly
My kids are 4, 7, and 9. I love them so much but I also... don't want to play with them sometimes. Like they'll ask and I just feel this exhaustion and irritation. I feel like a piece of shit about it. I provide, I show up, but I'm not PRESENT the way I should be. My wife asked if I wanted to talk to someone and I said no because what would I even say? "I'm a bad dad"? I don't know if this is depression or just who I am.
Three kids at those ages means you're basically on constant demand. The irritation isn't about not loving them, it's about being touched out and overstimulated. Have you talked to your partner about getting actual alone time?