Oh Lordy, I never had twins but I had 2 under 2, and it's bloody hard work. Can only imagine how you might feel OP.
Practicalities....
Sling
Bjorn bouncer - most kids I know have hated the vibratey ones but love a Bjorn. Many just nod off in them.... check age /weight, but rocker naps are generally ok if baby can hold head up.
Stoke newborn seat - get babies at eye level, kept them amused for hours while I made food, did some laundry, drank coffee etc.
AWARE these are higher end brands but honestly the stokke seat was a life saver and the seat will last for years.
There's absolutely nothing wrong in traipsing Asda for a break. I live near a John Lewis and as far as I'm concerned this is what it was designed for. The cafe on a weekday is essentially a playgroup. Repeat for sainsburys.
My first was a grumpy little shit with bad reflux and generally a needy little thing - everyone said it'd pass at 12 weeks but it didn't- took a good 6-9 months for him to find his happy groove. But since then he's largely been a joy. A highly strung bundle of energy, but a joy all the same.
DD was full of worse reflux and dairy allergy, but a more placid baby. Is now a harder toddler.
Kids are ALL different. Every stage will pass. Those stages will feel endless, but even after months, a year, you'll look back and say how they flew. It becomes a blur, mostly a happy one (a lot like labor and birth).
The only way to stay sane is to be kind to yourself and allow yourself to rest, recuperate wherever you can snatch a moment, drink caffeine, eat cake, drink wine. Literally forget everything that isn't life threatening and lower your standards dramatically. It's the only way I found to survive. I love my kids fiercely but it's exhausting and endless. Wouldn't change a thing though!