Things we've found useful:
Baby bath – our bathroom sink is too shallow and our bathroom quite cold, this way we can do cosy sitting room baths. We got one with a texture bit for the head and a bum support so it's not too wriggly/slippery
Reusable wipes & flannels – cheeky wipes are good but you can make your own set with cut-up towels and Tupperwares
Rucksack instead of changing bag
Close caboo sling for naps/walks, now switching to an Ergo for out and about, but borrow/try sling library first. Get a giant cagoule from charity shop to cover you both when it rains
IKEA inflatable changing mat – we just chuck it on the bed and change DD there, no need to get up in the middle of the night or have a dedicated changing table, we have two for when there's stealth wees; also handy for nappy-free time
Snuzpod - makes a handy bedside table for my water bottle and snacks since DD prefers sleeping in my armpit :)
White noise app on my phone (free)
Bouncy chair to plonk her in while I shower
IKEA wooden baby gym, occupies her for a bit while I drink tea
Thermos mug for hot drinks
Lamaze firefly toy thing - hideous but distracts her in the pram to trick her into sleeping
Snooze Shade for the pram
Snot sucker nostril torture device
The nappy cream in the yellow tube, great for bums, neck rolls, armpits
Crossover vests and bodysuits instead of ones you pull over the head; we gave up on sleepsuits v quickly
Vest extenders - DD grows long before she grows out
Blackout blind
Dribble bib bandana things
Hooded towels for baths
Not v useful:
Dream sheep, runs out of batteries endlessly
GroEgg - just use the free thermometer that comes with buying sleeping bags
Sleepsuits/babygros - bodysuits/vests and leggings far easier
Socks - who can be faffed, really
Bath thermometer - just use hand/common sense
Blankets - just need two, one in the wash and one in the pram