Michelin Pilot Sport 4S are an exceptional all rounder and what I would recommend. Somehow, they have managed to produce a tyre that is both one of the most grippy but also last longer than most others too. On my last 4 or 5 performance cars I've tried most of the usual suspects - pirelli Falkens, Kumho, Dunlop Sport, Bridgestone potenza, Goodyear eagle F1 , and F1 Asymetric which was my previous favourite.
The Michelin Pilot Super Sport were as good as the Eagle F1 Asymetric but lasted nearly twice as long, and the Pilot Sport 4S are better still. They are good in the dry, the rain, and even hold their own on track, and as mentioned last very well too.
Yes they are 'quite' expensive. It 'may' be slightly more economical to buy cheaper if they are harder compound tyres, but the grip levels will be massively reduced. Its up to you what's more important.
Whatever you choose, make sure you go to a proper wheel alignment specialist (not a high street chain) and get a geometry set up done. If they're any good they will ask you what sort of driving you do, whether you want grip, longevity or somewhere in between etc... It's well worth the extra £ a good place will charge.