Suzuki GSX-8R – Tyre choice

Hello together, I’ve been proud owner for a month a GSX 8R. Got now 4800 KM on the watch and the original Dunlop tire is over! I don’t think a good tire choice, rides in the dry quite well, but in wet weather this is a disaster. Drives like on raw eggs and I have absolutely no confidence! Do not need any tires for the race track, but for sporty and fast touring, with proper life. Have a Conti on my bandit Road Attack 4 with current mileage of 9400 KM. What do you suggest? Or what experiences do you have? Greetings and nice day Commanderhorry