If you're going to want wall-to-wall carpets or need to fix flooring, replace them before you move in -- or at least while things are still sparse and it is easy to move stuff. Paint your walls now, too. Need more insulation? Better sooner than later.
If it is an older house, you probably want more electrical outlets, and may want to add circuit breakers for new lines to the fuse box (I needed to do that to run window air-conditioners plus several PCs on the upper floor).
It seems like all new appliances die in 10 years, but they're more energy effcient. I'm glad I put a water filter on the line into the refrigertaor so I can replace the exterior filter instead of the one for the current refrigerator (which gives ice and water from the exterior with no need to open the doors). How's your water heater? What type of home heating do you have?
Edit: and try to introduce yourself to your neighbors! try to catch them while yuo're both doing yardwork or some such, but neighbors can watch out for one another ... but of course, some are real jerks, so until you get a feel for everyone, it is best to be diplomatic and not share opinions on things like politics or relgion.