After fifteen years, I had to figure out what products were needed for my second child. These were the ones that were really helpful to me.
The hakka was really helpful for collecting milk while breastfeeding. The suction helps to collect let-down and prevent wastage.
Hakka people
Very useful for thawing and warming bottles of breastmilk. Can also help with sterilising bottles.
Momcozy MW01 Bottle Warmer
Helps with tummy time.
Baby Play Mat Baby Gym Funny Play Piano Tummy Time Baby Activity Gym Mat with 5 Infant Learning Sensory Baby Toys, Music and Lights Boy & Girl Gifts for Newborn Baby 0 to 3 6 9 12 Months
Although I had another model, our bouncer/rocker was used from the newborn to toddler stage. My son is 4 years old and still very fond of his.
Ingenuity Keep Cozy 3-in-1 Grow with Me Baby Bouncer, Rocker & Toddler Seat - Weaver
Sometimes your baby needs you but you still need your arms/hands. I was able to wear my son while completing simple chores.
Momcozy Baby Carrier Newborn to Toddler - Ergonomic, Cozy and Lightweight Infant Carrier for 7-44lbs, Effortless to Put On, Ideal for Hands-Free Parenting, Enhanced Lumbar Support
Helps to suction baby boogers, at least until they can get them out by themselves.