Before moving anything in
Ensure that any cupboards are empty, free of damp, mold or bad smells, and keep a close note of what where the electricity, water and gas stopcocks are. While doing this, you'll also be getting a feel for where you can place any furniture, how to get it up any stairs or even just into the house. Note down any damage or concerns you have to be discussed with whomever you're dealing with – its important to have these notes before moving anything in so that you can get the problems remedied as soon as possible.
If you're letting from a landlord, he'll give you a list of any fittings, fixtures and furniture he's leaving – its very common nowadays for landlords to leave 'white goods' – kitchen appliances, such as the fridge, freezer, washing machine and cooker. If you're letting, your landlord should also give you contact details, emergency repair numbers and any paperwork pertaining to these emergency repairs that you may need. You may also want to get bank details or arrange a good time to come and collect rent. Any final paperwork can be signed now, and then you can start making your new place your own.
You should also ensure that the central heating and boiler are working correctly and collect any manuals for these from the previous occupant – these manuals will save you a lot of frustration in the long run.