Can I swap litter tray position from day to night?

[Newcatlady]

We will be picking up our new kitten in a few weeks. We are all so excited and trying to prepare as much as we can for our fluffy arrival.
Although DH and I both had cats growing up, this is our first time as adult cat owners. We really want to do everything right for the cat and give it as comfy a life as possible.
Once the cat is old enough to go outside it will be an outdoor cat. We are surrounded by fields and countryside. There is a village road nearby - pretty quiet but it can have the odd fast car zoom down at night.
Our kitchen/diner is reasonably roomy. Our utility room is standard size and houses not much more than the washing machine and dryer and (at the moment) loads of recycling. The utility room is separate from the kitchen - no access between the two once the kitchen door is shut.
I'm wondering if it would work to keep the cat in the kitchen/diner overnight with a cat tree, food and litter tray. Then, in the day time move his litter tray and food to the utility room where we could have a cat flap in the back door (and have the run of the house too). Ideally I don't want the litter tray in the kitchen during the day as it's where we tend to congregate - especially with visitors.
It's quite important to me that we don't give the cat the free run of the house at night as we've had really big sleep problems with DS1 which are recently resolved and I don't want to rock the boat there.
Do you think this set up would work or do you think it would be too confusing for the cat to move things around from day to night?

We do. It's inside the porch thing during the day but we bring in inside at night when we lock up (near same door) as our two don't go out after dark.

Yes I do. Litter tray is under the stairs during the day but as our living room opens to the stairs we put our cat into the dining room and kitchen at night to stop him coming upstairs to say hello at 5am!

This is really reassuring. I couldn't find the answer and didn't know if this was a silly idea!
The kitchen and utility room are not next to each other - down the hall (strange house layout). I'm hoping that won't be a problem.

What would be the advantage of keeping the cat in the kitchen at night, rather than in the utility room? I would be unsure how successful moving the tray about will be. It might be ok for some cats, but others might just use the area (in the kitchen) where it was.

To be honest, we've got three litter trays. Our boys are free roamers in the house though.

I’ve done this with all my cats. At the moment, our litter tray is in our upstairs bathroom during the day and in the kitchen at night (our cats are night time nibblers so can’t have access to the whole house ).

The advantage of having the cat in the kitchen over night as opposed to the utility room is that the kitchen is so much bigger than the utility room. I assumed this would be a better option - it seems a bit mean to shut it in the utility room as it's such a small room?
Interesting that some may be ok with the litter tray moving, some not. It may be a case of trial and error then from the sounds of it.

The cat doesn't need a lot of space at night though. A toy or 2 to throw around if it's awake. You could attach a bit of carpet to a wall or cupoard door for scratching on. My concern is once it's learnt to pee in the kitchen, it might not be the easiest habit to break. Or you might be lucky...

Oh thanks @HairyDogsofThigh that puts a bit of a different perspective on things. It would be much better to have him in the utility overnight practically speaking - I had just discounted it because of size. I could easily get a cat tree in there so he would have stuff to scratch etc. Maybe I'll rethink that then (and get on with sorting out the recycling ) Thanks so much for the advice.
I'll go and measure out how far I could get between food and litter in there to make sure that wouldn't be a problem for him.