You on 13s? After cheapo but "good" tyres or looking for spend a bit more per corner?
Anything is an upgrade from 155/70/13 tyres.
I found 165/65/13 had much better grip for a budget tyre. 165/55/13 probably the best cost/performance tyre.
I know SirChris has 185/60/13 which are chunky but lots of grip! Not too expensive either iirc