Make sure in your overnight bag you have tea/coffee, the kettle, mugs, biscuits, and a bottle of champagne to celebrate and know which takeaway you might order from for dinner.
I’d also suggest another case with 3-4 days worth of clothes, including some suitable to wear when cleaning or painting, in case there is an emergency paint job which needs doing. Plus towels, toiletries and toothpaste and whatever you need to eat off the first night and knives and forks. Treat it like going to self-catering accommodation but without the fittings.
seconding the suggestion of booking a supermarket delivery the day after moving in.
Don’t forget to take cuttings from any plants you can’t physically take with you. Do this a few weeks before so you know they have taken.
Take photos of your current place - the room layout and any equipment you can’t take with but you know worked well or badly. (e.g the make and model of the shower or integrated appliances). It will help you arrange the rooms and if you have to do any appliance shopping it will guide you for purchases. It’s sometimes so difficult to remember how things were.
On the boxes, no need for photos but try to identify what is in the box or what cupboard it came from. E.g bedroom wardrobe, bedroom chest of drawers. kitchen under sink, kitchen crockery. This way you can prioritise the unpacking at the other end. Or if you aren’t able to unpack immediately, know which boxes to find things in.
With the rooms with storages refer to the photos of your new kitchen and bedroom and create a plan of where everything will go before you get there. Especially with the kitchen, as you’ll be able to unpack this quickly usually after making the beds.
So your itinerary looks like
arrive
1 cup of tea/coffee
2 make beds
3 unpack kitchen
This way by the time you finish for the day, you could be steps ahead.