Gas, electrics and water first. You don’t want to be dealing with all that in the winter. So stuff like plumbing, toilets, boiler, lightbulbs, working oven, radiators etc.
Then your bedroom. You want to go to sleep at night in a decluttered, clean room.
Then the kitchen. Start with a nice new mug and work your way through.
Then the bathroom. Make a list with what’s needed: a lick of paint, new toilet seat, a bath plug, whatever you need.
Then the living room. Lick of paint, comfy armchair and a good reading lamp if nothing else.
Then the spare room if you have one.
It’s best to tackle the garden in the winter anyway, that’s the time to clear out, dig, repair, make a plan. The main thing for me would be a clear patio and some furniture.
I’d have been in my place for 10 years by next year. I set this whole next year to focus on the house.
My bedroom needs a lick of paint, a new bed and mattress, needs the woodwork painting too. I looked to see what I want and signed for emails, when the sales are right, I’m putting an order in. Once the order is in, I have the tins of paint waiting in the shed, I’ll start redecorating. I don’t have curtains or carpets, just a foot rug, they need changing too. This is booked in my diary for January.
February is for the spare room, I need a sofa bed, an armchair and a desk. Need to paint the woodwork, change the lights etc.
And so one for all the rooms.
HTH