Feel guilty being overstimulated by my kids

My 10 month old whines constantly if I’m not nursing or holding her, and my 3 year old talks incessantly even though he’s in a good mood, and my cat is in the way at the peak of my overstimulation. I feel guilty because my body simply cannot handle all of the input. I wish I could be more available to play with my son but I feel like I’m going to lose it. I’ve identified some of the triggers but in days like today, it’s just trigger after trigger, hundreds and hundreds in an hour and a half. How do you handle it?? Thinking about talking to a therapist to learn some coping techniques. I can’t get my body to calm down even when I take breaks. My mind is just too overworked.