Make a note of where all the utility cut-offs etc are. A lot of kitchen fitters just love to put a unit in front of the main internal stopcock so it's accessible only via 2 or 3 inch hole that you may not be able to get your hand into to turn it.
The outside water valve (usually under a small manhole with the meter), the inside water valves etc (the main one, and any isolators)., and possibly if you can check the internal stopcocks work, often it's not been turned for years and can be stuck when you need to turn it off at 3am because you've got a leak.
Potentially get a small selection of tools, hammer, screwdrivers etc, radiator keys to bleed the radiators, with a relatively small number of tools you can potentially fix/do a lot of the routine maintenance jobs around the house (for example about £30-50 worth of tools lets you deal with many plumbing issues which can pay for itself the first time you need to fix a leaky valve/tap or if you get a leak over the weekend/holidays).
Check the sockets are wired as expected - If you've got two ring mains (up and down) as is the norm these days in the uk make sure you have checked that say a hall socket isn't on the other ring. One of my neighbours' house has been rewired/altered several times including by a muppet of a builder (gonzo or possibly fozzi given how much of a joke some of his work was), so when the electrics tripped we discovered her lounge had sockets that were on the upstairs ring (one corner), the downstairs ring, and because the dividing wall with the kitchen had been lowered, one socket was actually on the kitchen ring...
Get some torches if you've not already got them, keep one by the meter (with spare batteries), one in say the kitchen and one in the bedroom.
Make sure you've got a spare for any unusual bulbs such as that monstrosity they like to put in the bathroom that is a 2, 4 or possibly 6 pin thing in one of about 3 sizes and you can guarantee that when it goes you'll go hunting all over the place trying to find exactly the right replacement (and that it will most likely go at 3am on a Sunday morning, or if you're really lucky Christmas - see again torches
).
Get a fire blanket for the kitchen, especially if you do a lot of frying.
Possibly make an accurate floorplan of the house so that when you go to decorate you have a reference without having to measure every room again.
Maybe make a note/schedule for things like checking the smoke alarms.
Are these the sort of tips you're looking for?