you should check your air pressure shold not exceed 32 lbs, 25000 km just nothing, I have KUMHO all season 175/70/13 on my 92 corolla, no skidding problem even in snow unless I do sharp turns or breaks in snow which is obvious. Tryes are rated for 100000 km warranty I have so far 45000 on it still good to go for another season. the new corolla available in North america has either 185/65/R15 or 195/65/R15 All season radials on it. for summer tires they come with 195/55R16 so I reccomend you to get last one, may solve your skiddig problem, Also your present tires, do they have any tread left over or they just get bald.