It's so hard those early days.. I remember feeling just the same. It does get easier I promise. It lessens around the 6 week stage as bf establishes. That probably sounds like forever at the moment but like you say take one day at a time.
I felt the same about co sleeping and never did it, I may have been more up and down than other mum's but in the long term it's worked out well with DS being a good sleeper.
As others have said, shorten your feeds as baby will just be sucking not feeding. If you put your little finger between baby's mouth and your nipple it will break the seal and baby will unlatch, probably asleep
When my DS was tiny I remember thinking he never napped or napped for a short amount but I think that was because he was napping during his feed.. I only realised this in hindsight. This is fine to do but I used to stress he never napped, but he did just not in his crib!
I also recently saw a post of someone using milk collection cups instead of breast pads, you pop it in, it's quite flat and you collect the milk that you leak.. this happens a lot when you feed from one side. This then meant the baby could have a little bottle of milk once a day without pumping. Got baby used to a bottle but not too much. She gave it at the 11pm ish feed, well her husband did and she slept meaning she and her boobs got a break for a couple of hours. One feed when you feed so much won't make a difference.
Last thing.. try and get out a little too if you're not already. Going for a little walk with your baby in the pram or sling is lovely and refreshing, sit in the park, it really does help xx