Once beds are set up — including frames and mattresses — find sheets, comforters, and pillows. If you have kids, do theirs too, and don't forget comfort items like nightlights and stuffies.
After you attend to these two important areas, you can spend some time setting up bedrooms with personal belongings and decor later. However, it might be a good idea to get some basics set up in the kitchen and come back to tweaking the bedroom afterward.
Kitchen: Time-Intensive but Essential

In most homes, the kitchen takes the longest to unpack fully. You may have hundreds of items, including dishes, appliances, utensils, and food, to set up.
Because it's so time-intensive, a full kitchen unpack is not an ideal moving day task. Instead, concentrate on a few essential items. Set up the coffee maker for the morning, place a pan on the stove so you can cook breakfast if desired, and ensure you have a few dishes available. You can even use paper plates and cups for the first few days to reduce unpacking stress.
When you do tackle the rest of the kitchen, use a zone strategy. Unpack by category — glasses, cookware, utensils, plates, etc. — and put things into cabinets and drawers as you take them out of boxes. Avoid just stacking things on counters and tables. Organized unpacking is easier if you start with a good kitchen packing plan.