I'm not sure what size of house you are moving into but here is what I learned moving into our house 6 months ago:
a bathroom cleaning kit in each bathroom(toilet bowl cleaner, brush, scrubbing bubbles, windex and a couple cleaning towels, lysol wipes)
nightlites(mostly for me because I hate the dark but my husband is up
and will turn all lights on in the house if the nightlites didn't light the way)
new broom and mop and special thingy for hardwood floors
the energy efficient light bulbs(we bought a big pack from
Sams club and lamp size ones from IKEA)
curtain rods(all mine and I have ALOT of windows came from IKEA)
laundry baskets (we have stairs now and our w/d is in the basement and we put one in the guest bathroom/bedroom)
rugs inside the door way at for the bathrooms and one or two in the kitchen
barstools for the bar area in the kitchen
weedkiller and bug spray (we bought the pump bottles from home depot)
I don't know if you are upgrading into a bigger house but I wouldn't worry about trying to fill it up right away. It sounds like you have all the basics covered and that is what is important. I have several rooms still empty in my house and I really don't even know if I'm going to put furniture in them or not though the empty space is driving me crazy lol. Congrats on the new house!