Three moves and another one ahead early next year here. i agree it very much depends on the individual cat.
my last move in march this year involved one veteran mover cat and one who had never experienced it.
Veteran cat went out on day two after arriving as she was fine & comfortable in the new house from the start.
'Newbie' was very nervous (think the sky man drilling finished him off)
With newbie i went & got a small dog cage/crate from Argos on day 3 as he'd explored all of the indoors & was bored stiff despite my best efforts at playing with him.
Popped him in the crate and put him outside in the garden while i pottered around, occasionally moved the crate to side & front of house so he could orientate himself & soak up all the smells.
This may be totally patronising but did you know that cats have a sort of pocket in their nose? They suck up a good nose full of air & then hold it in the 'pocket' for a while.
Called the flemen response (sp) i think, convinced it must help them navigate among other things?
Anyway, used the crate for two days mornings/afternoons/evenings at intervals whenever kitty got too fractious indoors and then let him out to explore by himself.
He was fine coming home after that.
Second time i've used the cage method and will use it again.
Kitty can suck up air/smells/sounds of area without being able to bolt if suddenly spooked.
All the best for your move OP, sure it will go brilliantly, I've come to the conclusion that cats are far cleverer than they are sometimes given credit for especially when it comes to homing instinct.