Personally, I didn't batch cook a single thing, and it was fine. I don't think I missed a single meal, as if baby couldn't be put down, I made something whilst using the sling. I was making cakes for guests etc pretty soon after birth, so making a sandwich was no problem. So if your manage it, great, but not necessarily necessary.
I'd try to relax in this next few weeks, take the time to go out with your partner if you can with the HG, and enjoy it just being the two of you.
I'd make sure you have a decent water bottle, and a good power bank for your phone, and an Alexa in each room. You can play the radio, make phone calls, or put soothing music on for your baby even if nap trapped. If eating with one hand, have a scissors instead of a knife, to cut up your food. That way you don't need to ask for help, or struggle.
Oh, and SLINGS!!
I'd also say that stages come and go. Personally I didn't find the first few weeks hard, and newborn was certainly not the most sorry deprived bit. But whether you find a stage easy or hard, it's not going to stay that way for long, so enjoy the good times and endure the hard ones.
A lot of people struggle with the newborn period, but many love it. It's not always difficult. I had difficult and painful pregnancies and having the baby was 100% easier than late pregnancy. My house was tidier. My hair was neater. I slept more with a newborn than 6 months before they were born (and after...). So be prepared in case it's hard, by all means, but you may be pleasantly surprised. Post natal was simply the best time of my life birth times.
If you can, make the most of that first few months. We went to concerts and parties with baby in a sling (and baby ear defenders), out to dinner, travelled etc, so things that are much easier with a child that can't move, naps a lot and doesn't require much entertainment. Just being with you is often entertainment enough, so think about things you want to do. Go to museums, art galleries etc if they are your thing, catch up with friends. Soon you'll find yourslf chasing them round soft play, hardly able to finish a sentence with your friend (who is also chasing their kid), so make the most of the relative calm in those first few months.
Best of luck.
It really was the very best of times ❤️