Get the most comfortable mattress you can possibly afford. Your back will thank you. (Also make sure you can fit two comfortably heh_)
Get to know your neighbors. Share life stories and find out what jobs/careers they have in case they have special abilities like HANDYMAN/FIXER OF BROKEN APPLIANCES and offer your own services too I WILL FIX YOU INTERNET
Familiarize yourself with any local ordinances/laws that didn't apply in your old section of town. I don't know.. maybe you can't have loud parties after 3AM or something.
Look around your house/yard for hidden areas where you can keep a set of keys in case you lock yourself out. Don't try anything cliche like UNDER DOORMAT or POTTED PLANT
I don't know if you have this in the Netherlands or not, but take advantage of any "new resident" offers in your area. Perhaps when you move in you get a nice booklet of coupons that businesses and advertisers pay for so you can purchase their items.
OH YEAH Make sure to ask the mail carrier to automatically forward any mail that is sent to your old address to your new address
Notify your bank(s)/doctors/insurance companies/whatever of your change of address
Sorry, I don't know anything about moving out. I'm basing all of this on THINGS TO DO FOR COLLEGE
Items to purchase: laundry drying rack, drying rack for dishes, dishes, silverware, cups, mugs, cutting board, knife set, mattress pad/egg crate, coffee machine, toaster, microwave, bed comforter/sheet set, vacuum, TV,
I WILL THINK OF MORE THINGS