@Britishsummertime22 I just read your first post again, more carefully.
He's 11 and you've had him 6 years, never any problem before, but he's always been nervous about going outside, yes?
So, he's already a nervous type of cat. Many cats are just that way (mine is also nervous, avoids humans except for me, frightened of other cats, does go outside but doesn't leave my garden).
The peeing problem started three months after you moved house. Cats hate moving house, and it'll affect a nervous, sensitive cat more. That's trigger number one. The second trigger is the bullying cat who stares through the window.
I've had the staring bully cat problem before, when I first got my cat. My cat would freak and run away when bully cat came and stared, (then luckily its owners moved away). So this really can cause a lot of stress.
Inappropriate peeing is a well-known feline response to stress. And, as a PP suggested, it might now have become a habit.
Yes, keep him in the kitchen for now, and put up some window film so he cannot see the bully cat, who might be coming round when you're out at work. A frosted film like in the link, or you can get ones with patterns. www.amazon.co.uk/Qualsen-Privacy-Natural-Non-Adhesive-Bathroom/dp/B0BD7SYQHN/?th=1
It sounds as if you're in a 1-bed flat? Could you allow him access to the hall and bathroom, so that he has somewhere to retreat to if he feels too 'trapped' in the kitchen.
Cats need to flee, then hide, when they're frightened. When I first got my cat, I kept him in the bathroom initially, as is recommended, to keep a cat in one room initially, as a whole new house is too overwhelming. My bathroom at the time had a very inaccessible hidey hole (unfinished building project!), and he immediately hid there and I didn't see him for two weeks. He'd come out to eat and use the litter box only when I wasn't there.
So, if you can't provide a retreat elsewhere in your flat, get him a box of some kind where he can hide, like a small kennel, in the kitchen. Put a really cosy squidgy bed inside it. It's calming for them to 'make biscuits' on a squidgy bed. Like this www.pawsomecouture.com/collections/pet-beds/products/calming-pet-bed
The only other thing I can suggest is consulting a cat behaviourist.
www.cats.org.uk/help-and-advice/cat-behaviour/finding-a-behaviourist