Big congrats on your new baby! I just wanted to offer my support ... just reading your post brought me back to those dark days after giving birth - SO NOT what I thought it would be like!! (Have one and probably done.) I was furious that no one told me. People all said that you don't get to sleep and you are tired but nothing anyone said prepared me for those first few weeks, which were real rough. Regardless of how much I loved my infant son and was proud of myself for giving life, I really did not enjoy this phase!
As for hormones, I was a wreck. The time passed pretty quickly though. Even though it took a few more months to really get into a groove and start sleeping at least a little, after the first few weeks little breaks and moments of respite would come that would save me. Like, one of my parents delivering a coffee, or coming over and washing my dishes. Or a friend coming by to chat and hold the baby. Or the times that my son would sleep for 4 - 6 hours.
I don't know if coping is the aim so much as you need to survive, sustain, and get through these weeks. Every day is a new day that you can and will get through, but you need to give yourself a break and a big hug each morning, sleep or no sleep, because you are not yourself and you are doing the best you can. You are "hormonally compromised" and sleep deprivation creates insanity, so the best you can do is stay calm and don't allow your thoughts to go in circles of anxiety too much, especially at night.
Right now, you can not let yourself worry about tomorrow when you husband goes back to work ... put one fire out at a time. Use your time as wisely as possible when your husband is still home - make him take the baby and your toddler so you can nap, relax, go for a walk, whatever you need to do. I started bawling when I read online after researching that after almost 2weeks, it was ok for me to take a hot bath! I was still in so much pain not only from the stitches but also my back and shoulders from the stress of learning how to nurse my son. My husband and i had an argument and he refused to clean the tub, so i did it myself, slowly. then I had the most relaxing soothing 15 minutes I'd had in weeks.
I am not trying to advocate co-sleeping if that does not suit you (it's not for everyone) but I do highly recommend that you let your infant sleep with you for these first few weeks, just so the both of you can get some sleep! Even if it means your husband needs to sleep elsewhere for a little while. I was in the same boat as you and I couldn't take it - finally one night was so exhausted I lay down in the bed to nurse my son, we both crashed and slept peacefully for the first time for several hours. He never went back into the bassinet, but I've heard that this transition can be made from bed back into the bassinet within the first month by waiting until baby starts to sleep at least 3 hrs and putting them in a swing. You may try a swing now if you are uncomfortable sleeping with your newborn.
I wanted to ask is there anyone who can come over for those first few weeks and help for a few hours a day when your husband goes to work? Or even hire to do so? That might be a project your husband could work on now. You need and deserve the help. I wish you the best of luck and I'm proud of you, and all of us mamas know that you'll be much better in a few weeks or a month! Good luck!