New tyres

[Gelbster]

Our friend in Oxford U.K.
Before we get deep into anecdotal recommendations and geekish terminology I suggest you ask for tyres suitable for your climate. In England you probably need the very best wet road grip as the primary performance criteria? Presumably you are not racing on a Track with your car?
Until Brexit, your EU tyres come with a helpful chart to help you make an informed selection:
Full Guide To The EU Tyre Label | Blackcircles.com

[BirdDog]

When I bought my car it had some horribly mismatched tyres - Goodyear F1s on the back and some cheap tyres on the front. The rears were completely worn out (they looked like slicks), but the fronts were fairly new (I gave them away).

Like JamesSP I went with Michelin Pilot Sport (PS2's). I love them. They stick like glue, wet or dry. They were a bit pricey though.

I haven't tried anything else, but I'm sure you'll get some great recommendations here.