If by 'next year' you really do mean 2023 do bear in mind that tyre technology is improving all the time and manufacturers regularly bring out new 'improved' versions. The old model may still be sold for several years (ie its been in store for several years) but they are not always priced much cheaper than the latest improved model. And this years top recommended tyre may be well down the running order next year.
also you will often see the apparently same tyre can vary a lot in price depending on its speed rating . Yet I have seen higher rated tyres cheaper than an otherwise identical lower rated ones. It can depend on stock levels. Comply with Hondas recommended minimum ,but you may not need 130 mph rated tyres when 118 mph will do
Prices can go up and down ,depending on season, stock surpluses , etc so its best to check on line nearer the time .
Some of the big tyre fitting chains such as kwikfit , national tyres etc do a good price on a limited range of 'recommended ' tyres. (ie the ones where they have a good deal with the makers) The big on- line tyre suppliers such as black circles and mytyres offer a wider choice Black circles do a fixed price fitting option. Mytyres have recommended local fitters but some charge more than others.
Have a look at Asda tyres on line . They fit them near the fish counter. - Only joking !
. They use local tyre fitters at an all inclusive price . When I google Asda tyres black circles comes up first. I suspect Asda are, in reality, Black Circles but the 'Asda' price may sometimes be better .
You can find lots of comprehensive tyre comparison tests on line, often by German and austrian motoring clubs. They compare various parameters, and no tyre does well in all of them. And one club may find a 'winner' thats near the bottom on the other. You have to decide which attributes are most important to you.
An expensive brand may give good mileage, but at a price. A tyre that wears faster may still be cost effective because of its lower price. As long as you are not compromising on important performance advantages.
Then again you dont want a tyre thats great on noise,or mileage, but wont stop or go round corners.
I am a fan of all season tyres So maybe I am biased. It sounds like you have considered these.
London may be comparatively mild, but all seasons are not all about snow. They perform better than summer tyres when the temperature is + 7 degrees or less - often seen in London. More flexible. And MUCH better than summer tyres if it does snow . Summer tyres can be like ice hockey pucks - border line lethal.
They perform well enough in summer for most drivers. But its true if you drive enthusiastically on warm dry roads a good quality summer tyre has the edge over all seasons. Just dont go out if its cold. And of course some Budget brands may not be great even in summer.