Your baby is going and won't be in a 'routine' as such yet, but that shouldn't mean you can't get anything done.
My first baby was a bit of a unicorn sleeper, but my second certainly wasn't, was very colicky etc, so believe me I've been through it.
But equally, it's just a tiny baby. It can't get upto mischief, can't argue back, can't throw things on the floor or run away from you. Think about the basic things that a baby needs to feel happy and then see if you can provide them whilst doing the other things in life.
My best piece of advice when I had my first was to try to treat her as my second. You might think now that you 'couldn't possibly' have time to cook food, have a shower, pop to the shop, whatever. But if it were your second you'd find a way because you can't just let them starve, not take them to the loo etc. If they are at school she, you'd need to juggle school runs. The 'I can't' turns into 'how can I'.
This meant that I don't think i missed a single meal when they were tiny. I just made a sandwich with baby in the sling, or popped something in the microwave with baby in the sling.
Tidying etc was again done with baby in the sling. Obviously there were things that weren't practical (ie some cooking, cleaning under things, carrying piles of laundry upstairs, but I managed about 90%. It was a lot easier to keep tidier then than it is now they are 4&6. I remember waking from a lovely nap when my baby was about 2 weeks old, to find my husband had properly sorted, tidied and cleaned the entire downstairs and kitchen, all with a sleeping baby on him.
Swaddling also helped a lot for our first (second hated it), but you have to wrap them much not tightly than you think. It's meant to be like a tight hug.
Keep on persevering on putting them down at night at least. Even with tricky colicky baby she never slept on us at night. That was never an option, and we certainly weren't going to sit up half the night and hold a baby. You might need to experiment with finding the best time in your baby's sleep cycle to put them down. Longer isn't always better. For us, it was usually when you could lift their arm and drop it 3 times in a row without stirring 😂
This is a while new life, and it's going to take some time to get used to. It might sound ridiculous, but also try to make the most of this period. Go to the places you want, eat out at the restaurants you want, sit together and play games and talk. In 6m time those things will be harder. In a year a lot of them will feel impossible. This is an amazing 'interim' stage, where as long as they are with you, cuddled and fed, you can do whatever YOU want to in life. Also, because they don't have much routine, you weren't stuck to the house in the evenings. I took my baby's to a LOT of parties at that age 😃. I miss the social life I had then tbh.
You'll find your rhythm soon, and the challenges now will pass. They'll be replaced with new ones, but at least they'll be different. I'm not going to say it gets easier, because personally I found the opposite, but it definitely doesn't stay the same.