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When I go to the track I remove the spare and carpet from the trunk and my two slicks fit pretty easily back there. I'd imagine the other two would fit pretty easily in the back seat. (Throw down some towels. Even brand new tires bleed black.)
I got a box of 150 55 gal drum liners (big trash bags) from Home Depot for like $5. Stock tires fit perfect inside them. Great for driving the tires around in the car.