What size tires should I run on this setup: 18x9 front 19x10.5 rear?

[jat5150]

Hi PT gurus,

I ordered a set of Boze Autocross wheels that are 18x9 front 19x10.5 rear and had a question for what tire sizes I should be running. I don't want any bulge on the sides and I like a good pattern. Bonus would be if I could also get suggestion on the brand and model type, I do like the patterns on the NT05 and NT555 as reference.

[dontlifttoshift]

What are you doing with the car?

AutoX Bridgestone RE71s 265/35-18 305/30-19 https://www.tirerack.com/tires/tires.jsp?tireMake=Bridgestone&tireModel=Potenza+RE-71R

Cruiser Continental Extreme Contact Sport Same sizes https://www.tirerack.com/tires/tires.jsp?tireMake=Continental&tireModel=ExtremeContact+Sport

[jat5150]

I will be driving the car for pleasure for the most part, it has the setup for me to run in auto-cross events and or drags but will most likely not do any of those things for some time! I got alot of that out of my system when I was younger, and want to enjoy this car for awhile.