Unpack logically working down from essential to non-essential items.
Reassemble your furniture when you have time.Don’t worry about filling wardrobes immediately if you have hired/bought special wardrobe boxes. They can hang perfectly well in there until you have time to put them away properly.Get all of your major appliances ready for use again and hook them up.
Unpack all electrical items as quickly as possible and check for damage - you may have a limited window for insurance claims.
Register to vote and for any other local government purposes.
Check your mail is being forwarded to your new address.
Register with a doctor, dentist, veterinarian etc.
If necessary change your driver’s license and car details etc.