Wow, hold on a second. Sometimes doctors just think we are guinea pig pill boxes. Maybe you can talk to you your doctor about getting one thing that fits all your problems. I would be afraid of taking that many too...especially since your depression isn't severe.
I have 6 kids and I know what it's like not to sleep well. I don't remember the last time I was happy to wake up. Ever. I think it's just natural to impatient with the kids, but I'm not sure if the meds are contributing to that or not. I yell at my kids too. I'm a whole lot better than I used to be about it. I think it's a combination of know that it doesn't really work and it's more counter-productive, and I just don't have the energy. Just think of how big you look to them already and then add the yelling part. Yup, pretty scary already without the yelling.
I was on Prozac and it didn't do a thing for me. It all depends on the person I guess. Maybe you could take tyenol PM or "allergy medication" (Benedryl) which is the same thing as Tylenol without the acetaminophen to sleep at night instead of something as strong as the Xanex.