I have a 1980's Schwinn Prelude that has 700x25 tires. Being 6'2" 240 lbs, I've been wondering if the ride would be made better by getting some fatter tires, but I keep hearing about tighter clearances being an issue. I have no intention of putting fenders on this bike.
So I'm wondering, if I put on some 700x32 or 700x35 road tires, as long as the rims can handle it, do I have enough clearance? I took some pictures of the front tire near the fork: