Performance tire categories?

I'm deciding what tires to get for my car 68 Valiant Signet will have about 350 hp 5.9l Magnum, gonna have upgraded torsion bar leafs sway bars Viking double adjustable shocks Not looking for competition tires that got to be stored specially, car will be daily driver type summer may see some Canadian good days spring/fall driving, looking for good grip straight and conners with ok comfort and wet driving, caught in the rain situations.

Far as I can tell I should be shopping in the UHP Ultra High Performance ? Maybe UHP AS ?
Above that seem like competition type tires and below normal tires, most info seems to be geared towards competition tires.