Congrats on Little Nemo! Mine are 7 & 9.
Some of my favorite baby items were:
Clothing:
Baby nightgowns-I didn't cover mine with any blankets when I was sleeping, so the baby nightgown was perfect b/c the arms had little covers for the hands and the legs had room to wiggle but stayed covered.
Buntings- They are like a much thicker version than a nightgown & have slots for the car seat buckle.
Bath time:
Hooded towels
Baby bathtub
Lavendar nighttime baby wash
Equipment:
Portable bassinet-this was convenient with baby #1 and needed with baby #2. I didn't let my kids sleep in their own room until they were about 2. The $600 crib got used only for holding blankets & stuffed animals and didn't get slept in once. The bassinet on the other hand was well used. It was low to the ground, light to carry, and had an adjustable back & vibrate feature. DD slept in this until she was too long beside my bed so I could check on her frequently. DS had reflux & threw up after every bottle so he had to sit up 2 hours after every feeding per the dr(which was most of the time) for 6 months. The adjustable back & strap in kept him in a safe upright position and the cover was removable & washable, which had to be done daily. I loved that bassinet.
Narrow playpen- I moved this to whatever room I was in, 1st one was deluxe with changing thing, mobile, etc. It was bulky to move room to room. 2nd one I got was basic & smaller and much easier to move around.