I changed from stock Kenda 305/30 R20 to a Cooper Zeon RS3-S 305/35 R20. Changing to a better, slightly taller tire made an enormous difference in grip, launch, and handling.
The Cooper is a "summer" tire, does less well in snow, but I'm not driving in snow! Those big grooves should make it a better rain tire as well, but I try my best to avoid wet conditions, too.
The Cooper is taller, more sidewall makes a better ride over rough pavement, and better launch grip before you break traction. 2% bigger circumference also means that the speedometer and odometer are both 2% low. The speed means you have to be careful of the legal limit, the odometer affects milage calculations a bit too.
Don't worry about these little technical bits, research a bit here & on line for a good tire. Tread design and rubber compound technology will outdo simple width every time. If you can make it to a meet up, ask around, you're going to be amazed how much you will learn!