Welcome to parenthood.
I think you will find that things improve after everyone settles into some kind of rhythm- the baby's includes sleeping, eating, pooping; yours, of course, includes catering to the eating and pooping.
Notice your part does not necessarily include sleeping. Sorry.
It is important to understand that things get better only after you have completely forgotten what it's like to be well rested. It's sort of like brain washing- the kid's job is to break you psychologically and get you to the point where you stop hoping it will end. Once that's done, you become a compliant worker/drone. So, the sooner you get with the program and accept your fate, the better you will feel.
Resistance is futile, if you know what I mean.