Minimizing flats - #1 Ride over as little debris as you can. Find that line just to the left of the right-side debris field that is so common. When you do have to ride though it, steer a course so that your tires hit the least amount. Watch for glass and steer accordingly. And as pointed out above, ride with enough pressure to avoid pinch flats. (Again, where you place your tires also makes a big difference here. But enough air simplifies avoiding that hazard.)
With skill and practice, most of us can reduce flats a lot. Anyone who rode the old sewups learned this routine simply because not doing so lead to very high either expense or time spent repairing tires.