We've owned our (first!) house for almost a month. We got it for a great price for the size and location because of its state of decoration--liveable but not really to modern taste. (Think, patterned carpets and artex feature walls, but nothing wrong with the bones of the building itself.)
First thing we had was a gas safe engineer in for a boiler service and to replace a couple of radiators.
Upstairs we're doing one bed at a time, so we painted the walls in the first one to do and took up the carpet, and are now finishing the floors ourselves.
Downstairs the next thing booked in is plastering for said artex walls--and the others so that they're all up to the same level of finish.
After that's done we're having our floors downstairs laid. The cement under the carpet needs to be leveled out a bit first so it's a job to do before we have any furniture in there, and then we'll have laminate laid instead of carpet.
After that, the biggest bedroom is our next priority, and when that's done (walls and again, ripping out carpet and finishing wood floors) we'll get new furniture and move in there, and the current bedroom will be a guest bed. The third bed isn't needed as much yet so it'll be last.
If we had to redo the kitchen or bath we would have done that first with the boiler service and heating repair, but luckily they are fine until we want to change them.