Welcome to your new house!
As soon as you close, you'll need to put the utilities into your name. Typically they're left on for inspection but if they aren't you may need to wait for service to be re-established. We'll verify with the seller which utility companies are in your area:
Now that you're home has services, you'll want to secure it. I always recommend immediately changing all exterior door locks, adding dead bolts to main entrance ways if there aren't any already, adding window locks to at least all 1st story and basement windows, and consider installing security cameras and quoting prices for an alarm system. While we've already scoped out the neighborhood and taken safety into consideration, burglaries can happen anywhere and new residents who may not know the neighborhood yet can be seen as vulnerable targets. Always protect your property!
Next, you've had a big journey with a lot of paperwork thrown around so let's get that organized. My typical "Thank You" gift is a fireplace safe to store important records however in addition I suggest creating an email address dedicated to only the house and log-in information available to next of kins in the case of an emergency. Using this email address, keep scans of all papers, receipts, warrantees, etc. and upload copies to the "cloud" with subject lines that clearly identify what the attachment is.
Now that you've taken care of all the foundational steps, schedule a date to move your belongings and any furnishings and make your house into a home and show it off to the world!