Never had a house sprayed and I've lived in about 10+ different rentals! However maybe it's a case of once you've been bitten (literally) you want to be on the safe side! We did have trouble with slugs rampaging through the lounge of one house at night...
However I'd say the things would be take photos of the meter readings, check it's clean especially the kitchen, and work out how to use the appliances and shut off taps.
We changed the locks to avocet abs locks as you can get them all on the same key and they're unnecessarily secure, so you can give keys to people and know they haven't copied them. Also change the alarm code or get an alarm fitted.
Professional cleaning sounds OTT but maybe you can make your own decision based on how it looks and how much time you have.
Checking electrics is another one you have to decide yourself- ours was dodgy and we knew it, but I didn't class it as urgent.
At the end of the day just enjoy your house, don't fret too much, and do things in your own time!